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256. \frac{{{\log }_{3}}121}{{{\log }_{3}}11}.

257. \frac{{{\log }_{2}}1331}{{{\log }_{2}}11}.

258. \frac{{{\log }_{4}}27}{{{\log }_{4}}3}.

259. \frac{{{\log }_{3}}8}{{{\log }_{3}}2}.

260. \frac{{{\log }_{2}}225}{{{\log }_{2}}15}.

261. \frac{{{\log }_{3}}64}{{{\log }_{3}}8}.

262. \frac{{{\log }_{5}}9}{{{\log }_{5}}3}.

263. \frac{{{\log }_{4}}36}{{{\log }_{4}}6}.

264. \frac{{{\log }_{6}}125}{{{\log }_{6}}5}.

265.  \frac{{{\log }_{5}}64}{{{\log }_{5}}4}.

266. \frac{{{\log }_{2}}27}{{{\log }_{2}}3}.

267. \frac{{{\log }_{7}}8}{{{\log }_{49}}8}.

268. \frac{{{\log }_{4}}7}{{{\log }_{64}}7}.

269. \frac{{{\log }_{6}}8}{{{\log }_{36}}8}.

270. \frac{{{\log }_{5}}13}{{{\log }_{25}}13}.

271. \frac{{{\log }_{9}}2}{{{\log }_{81}}2}.

272. \frac{{{\log }_{9}}4}{{{\log }_{81}}4}.

273. \frac{{{\log }_{2}}15}{{{\log }_{8}}15}.

274. \frac{{{\log }_{6}}12}{{{\log }_{36}}12}.

275. \frac{{{\log }_{4}}12}{{{\log }_{16}}12}.

276. \frac{{{\log }_{6}}13}{{{\log }_{36}}13}.

277. \frac{{{\log }_{5}}11}{{{\log }_{25}}11}.

278. \frac{{{\log }_{9}}7}{{{\log }_{81}}7}.

279. \frac{{{\log }_{4}}5}{{{\log }_{64}}5}.

280. \frac{{{\log }_{5}}9}{{{\log }_{25}}9}.

281.  \frac{{{\log }_{3}}8}{{{\log }_{9}}8}.

282. \frac{{{\log }_{4}}9}{{{\log }_{16}}9}.

283. \frac{{{\log }_{3}}11}{{{\log }_{27}}11}.

284. \frac{{{\log }_{3}}12}{{{\log }_{9}}12}.

285. \frac{{{\log }_{6}}9}{{{\log }_{36}}9}.

286. \frac{{{\log }_{7}}2}{{{\log }_{49}}2}.

287. \frac{{{\log }_{5}}7}{{{\log }_{25}}7}.

288. \frac{{{\log }_{7}}9}{{{\log }_{49}}9}.

289. \frac{{{\log }_{7}}5}{{{\log }_{49}}5}.

290. \frac{{{\log }_{2}}7}{{{\log }_{8}}7}.

291. \frac{{{\log }_{4}}13}{{{\log }_{64}}13}.

292. \frac{{{\log }_{8}}9}{{{\log }_{64}}9}.

293. \frac{{{\log }_{5}}6}{{{\log }_{25}}6}.

294. \frac{{{\log }_{4}}3}{{{\log }_{16}}3}.

295. \frac{{{\log }_{9}}6}{{{\log }_{81}}6}.

296. \frac{{{\log }_{3}}4}{{{\log }_{9}}4}.

297. \frac{{{\log }_{2}}9}{{{\log }_{4}}9}.

298. \frac{{{\log }_{2}}6}{{{\log }_{4}}6}.

299. \frac{{{\log }_{3}}7}{{{\log }_{27}}7}.

300. \frac{{{6}^{{{\log.

301. \frac{{{5}^{{{\log.

302. \frac{{{2}^{{{\log.

303. \frac{{{5}^{{{\log.

304. \frac{{{2}^{{{\log.

305. \frac{{{5}^{{{\log.

306. \frac{{{8}^{{{\log.

307. \frac{{{7}^{{{\log.

308. \frac{{{3}^{{{\log.

309. \frac{{{2}^{{{\log.

310. \frac{{{9}^{{{\log.

311. \frac{{{6}^{{{\log.

312. \frac{{{6}^{{{\log.

313. \frac{{{9}^{{{\log.

314. \frac{{{4}^{{{\log.

315. \frac{{{7}^{{{\log.

316. \frac{{{2}^{{{\log.

317. \frac{{{5}^{{{\log.

318. \frac{{{3}^{{{\log.

319. \frac{{{4}^{{{\log.

320. \frac{{{4}^{{{\log.

321. \frac{{{9}^{{{\log.

322. \frac{{{7}^{{{\log.

323. \frac{{{2}^{{{\log.

324. \frac{{{9}^{{{\log.

325. \frac{{{3}^{{{\log.

326. \frac{{{3}^{{{\log.

327. \frac{{{5}^{{{\log.

328. \frac{{{8}^{{{\log.

329. \frac{{{9}^{{{\log.

330. \frac{{{8}^{{{\log.

331. (1-{{\log }_{8}}24)(1-{{\log }_{3}}24)

332. (1-{{\log }_{19}}95)(1-{{\log }_{5}}95)

333. (1-{{\log }_{7}}28)(1-{{\log }_{4}}28)

334. (1-{{\log }_{7}}63)(1-{{\log }_{9}}63)

335. (1-{{\log }_{2}}18)(1-{{\log }_{9}}18)

336. (1-{{\log }_{5}}45)(1-{{\log }_{9}}45)

337. (1-{{\log }_{7}}14)(1-{{\log }_{2}}14)

338. (1-{{\log }_{5}}95)(1-{{\log }_{19}}95)

339. (1-{{\log }_{4}}24)(1-{{\log }_{6}}24)

340. (1-{{\log }_{7}}56)(1-{{\log }_{8}}56)

341. (1-{{\log }_{6}}18)(1-{{\log }_{3}}18)

342. (1-{{\log }_{2}}16)(1-{{\log }_{8}}16)

343. (1-{{\log }_{6}}48)(1-{{\log }_{8}}48)

344. (1-{{\log }_{7}}21)(1-{{\log }_{3}}21)

345. (1-{{\log }_{7}}35)(1-{{\log }_{5}}35)

346. (1-{{\log }_{5}}10)(1-{{\log }_{2}}10)

347. (1-{{\log }_{2}}12)(1-{{\log }_{6}}12).

348. (1-{{\log }_{6}}54)(1-{{\log }_{9}}54)

349. (1-{{\log }_{8}}32)(1-{{\log }_{4}}32)

350. (1-{{\log }_{5}}40)(1-{{\log }_{8}}40)

351. (1-{{\log }_{8}}72)(1-{{\log }_{9}}72)

352. (1-{{\log }_{4}}32)(1-{{\log }_{8}}32)

353. 10{{\log }_{6}}\sqrt[4]{6}.

354. 18{{\log }_{5}}\sqrt[9]{5}.

355. 6{{\log }_{3}}\sqrt[6]{3}.

356. 21{{\log }_{8}}\sqrt[7]{8}.

357. 12{{\log }_{7}}\sqrt[8]{7}.

358. 14{{\log }_{6}}\sqrt[7]{6}.

359. 2{{\log }_{2}}\sqrt[5]{2}.

360. 12{{\log }_{5}}\sqrt[3]{5}.

361. 4{{\log }_{3}}\sqrt[4]{3}.

362. 24{{\log }_{9}}\sqrt[6]{9}.

363. 7{{\log }_{7}}\sqrt[7]{7}.

364. 7{{\log }_{4}}\sqrt[7]{4}.

365. 21{{\log }_{2}}\sqrt[7]{2}.

366. 8{{\log }_{8}}\sqrt[5]{8}.

367. 12{{\log }_{6}}\sqrt[5]{6}.

368. 14{{\log }_{3}}\sqrt[7]{3}.

369. 7{{\log }_{7}}\sqrt[5]{7}.

370. 14{{\log }_{8}}\sqrt[8]{8}.

371. 6{{\log }_{4}}\sqrt[4]{4}.

372. {{\log }_{\sqrt[5]{10}}}10.

373. {{\log }_{\sqrt[9]{4}}}4.

374. {{\log }_{\sqrt[3]{10}}}10.

375. {{\log }_{\sqrt[5]{12}}}12.

376. {{\log }_{\sqrt[4]{6}}}6.

377. {{\log }_{\sqrt[9]{13}}}13.

378. {{\log }_{\sqrt[3]{7}}}7.

379. {{\log }_{\sqrt[8]{6}}}6.

380. {{\log }_{\sqrt[9]{10}}}10.

381. {{\log }_{\sqrt[7]{10}}}10.

382. {{\log }_{\sqrt[5]{13}}}13.

383. {{\log }_{\sqrt[7]{6}}}6.

384. {{\log }_{\sqrt[3]{4}}}4.

385. {{\log }_{\sqrt[7]{7}}}7.

386. {{\log }_{\sqrt[7]{9}}}9.

387. {{\log }_{\sqrt[7]{5}}}5.

388. {{\log }_{\sqrt[5]{7}}}7.

389. {{\log }_{\sqrt[8]{8}}}8.

390. {{\log }_{\sqrt[9]{6}}}6.

391. {{\log }_{\sqrt[4]{7}}}7.

392. {{\log }_{\sqrt[5]{14}}}14.

393. {{\log }_{\sqrt[9]{8}}}8.

394. {{\log }_{\sqrt[5]{11}}}11.

395. {{\log }_{\sqrt[4]{9}}}9.

396. {{\log }_{\sqrt[3]{3}}}3.

397. {{\log }_{\sqrt[6]{6}}}6.

398. {{\log }_{\sqrt[8]{3}}}3.

399. {{\log }_{\sqrt[4]{8}}}8.

400. {{\log }_{\sqrt[6]{7}}}7.

401. {{\log }_{\sqrt[5]{3}}}3.

402. {{\log }_{\sqrt[7]{13}}}13.

403. {{\log }_{\sqrt[6]{11}}}11.

404. {{\log }_{\sqrt[4]{3}}}3.

405. {{\log }_{\sqrt[3]{14}}}14.

406. {{\log }_{\sqrt[8]{7}}}7.

407. {{\log }_{\sqrt[3]{13}}}13.

408. {{\log }_{\sqrt[3]{11}}}11.

409. {{\log }_{\sqrt[9]{11}}}11.

410. {{\log }_{\sqrt[8]{4}}}4.

411. \frac{{{\log }_{6}}180}{2+{{\log }_{6}}5}.

412. \frac{{{\log }_{3}}63}{2+{{\log }_{3}}7}.

413. \frac{{{\log }_{2}}52}{2+{{\log }_{2}}13}.

414. \frac{{{\log }_{8}}320}{2+{{\log }_{8}}5}.

415. \frac{{{\log }_{2}}48}{3+{{\log }_{2}}6}.

416. \frac{{{\log }_{9}}324}{2+{{\log }_{9}}4}.

417. \frac{{{\log }_{6}}144}{2+{{\log }_{6}}4}.

418. \frac{{{\log }_{5}}150}{2+{{\log }_{5}}6}.

419. \frac{{{\log }_{8}}384}{2+{{\log }_{8}}6}.

420. \frac{{{\log }_{3}}108}{3+{{\log }_{3}}4}.

421. \frac{{{\log }_{4}}96}{2+{{\log }_{4}}6}.

422. \frac{{{\log }_{3}}54}{2+{{\log }_{3}}6}.

423. \frac{{{\log }_{11}}242}{2+{{\log }_{11}}2}.

424. \frac{{{\log }_{2}}56}{3+{{\log }_{2}}7}.

425. \frac{{{\log }_{5}}100}{2+{{\log }_{5}}4}.

426. \frac{{{\log }_{9}}567}{2+{{\log }_{9}}7}.

427. \frac{{{\log }_{5}}75}{2+{{\log }_{5}}3}.

428. \frac{{{\log }_{5}}250}{3+{{\log }_{5}}2}.

429. \frac{{{\log }_{7}}98}{2+{{\log }_{7}}2}.

430. \frac{{{\log }_{2}}88}{3+{{\log }_{2}}11}.

431. \frac{{{\log }_{10}}200}{2+{{\log }_{10}}2}.

432. \frac{{{\log }_{8}}20}{{{\log }_{8}}5}+{{\log }_{5}}0,05.

433. \frac{{{\log }_{2}}20}{{{\log }_{2}}12}+{{\log }_{12}}0,05.

434. \frac{{{\log }_{10}}10}{{{\log }_{10}}7}+{{\log }_{7}}0,1.

435. \frac{{{\log }_{4}}10}{{{\log }_{4}}9}+{{\log }_{9}}0,1.

436. \frac{{{\log }_{6}}2}{{{\log }_{6}}3}+{{\log }_{3}}0,5.

437. \frac{{{\log }_{4}}2}{{{\log }_{4}}5}+{{\log }_{5}}0,5.

438. \frac{{{\log }_{2}}2}{{{\log }_{2}}3}+{{\log }_{3}}0,5.

439. \frac{{{\log }_{2}}5}{{{\log }_{2}}6}+{{\log }_{6}}0,2.

440. \frac{{{\log }_{2}}10}{{{\log }_{2}}9}+{{\log }_{9}}0,1.

441. \frac{{{\log }_{9}}5}{{{\log }_{9}}14}+{{\log }_{14}}0,2.

442. \frac{{{\log }_{4}}5}{{{\log }_{4}}7}+{{\log }_{7}}0,2.

443. \frac{{{\log }_{6}}5}{{{\log }_{6}}5}+{{\log }_{5}}0,2.

444. \frac{{{\log }_{7}}20}{{{\log }_{7}}3}+{{\log }_{3}}0,05.

445. \frac{{{\log }_{7}}4}{{{\log }_{7}}6}+{{\log }_{6}}0,25.

446. \frac{{{\log }_{3}}10}{{{\log }_{3}}5}+{{\log }_{5}}0,1.

447. \frac{{{\log }_{5}}2}{{{\log }_{5}}2}+{{\log }_{2}}0,5.

448. \frac{{{\log }_{2}}2}{{{\log }_{2}}15}+{{\log }_{15}}0,5.

449. \frac{{{\log }_{3}}2}{{{\log }_{3}}7}+{{\log }_{7}}0,5.

450. \frac{{{\log }_{3}}4}{{{\log }_{3}}2}+{{\log }_{2}}0,25.

451. \frac{{{\log }_{3}}4}{{{\log }_{3}}8}+{{\log }_{8}}0,25.

452. \frac{{{\log }_{5}}10}{{{\log }_{5}}6}+{{\log }_{6}}0,1.

453. \frac{{{\log }_{4}}20}{{{\log }_{4}}10}+{{\log }_{10}}0,05.

454. \frac{{{\log }_{4}}4}{{{\log }_{4}}6}+{{\log }_{6}}0,25.

455. \frac{{{\log }_{11}}5}{{{\log }_{11}}14}+{{\log }_{14}}0,2.

456. \frac{{{\log }_{9}}10}{{{\log }_{9}}11}+{{\log }_{11}}0,1.

457. {{\log }_{1,25}}7\cdot {{\log }_{7}}0,8.

458. {{\log }_{0,5}}5\cdot {{\log }_{5}}2.

459. {{\log }_{0,4}}8\cdot {{\log }_{8}}2,5.

460. {{\log }_{0,4}}6\cdot {{\log }_{6}}2,5.

461. {{\log }_{0,8}}3\cdot {{\log }_{3}}1,25.

462. {{\log }_{0,5}}9\cdot {{\log }_{9}}2.

463. {{\log }_{0,4}}9\cdot {{\log }_{9}}2,5.

464. {{\log }_{2}}3\cdot {{\log }_{3}}0,5.

465. {{\log }_{5}}6\cdot {{\log }_{6}}0,2.

466. \log _{\sqrt{11}}^{2}121.

467. \log _{\sqrt{2}}^{2}4.

468. \log _{\sqrt{8}}^{2}512.

469. \log _{\sqrt{8}}^{2}8.

470. \log _{\sqrt{8}}^{2}64.

471. \log _{\sqrt{7}}^{3}7.

472. {{9}^{2+{{\log }_{9}}6}}.

473.  {{8}^{2+{{\log }_{8}}15}}.

474. {{6}^{2+{{\log }_{6}}8}}.

475. {{6}^{2{{\log }_{6}}14}}.

476. {{9}^{2{{\log }_{9}}8}}.

477. {{2}^{2{{\log }_{2}}10}}.

478. {{7}^{3{{\log }_{7}}5}}.

479. {{8}^{2{{\log }_{8}}15}}.

480. {{3}^{2{{\log }_{3}}8}}.

481. {{7}^{2{{\log }_{7}}6}}.

482. {{3}^{2{{\log }_{3}}2}}.

483. {{6}^{5{{\log }_{6}}3}}.

484. {{6}^{2{{\log }_{6}}5}}.

485.  {{5}^{3{{\log }_{5}}6}}.

486. {{9}^{{{\log }_{3}}\sqrt{15}}}.

487. {{4}^{{{\log }_{2}}\sqrt{12}}}.

488. {{25}^{{{\log }_{5}}\sqrt{7}}}.

489. {{25}^{{{\log }_{5}}\sqrt{6}}}.

490. {{16}^{{{\log }_{4}}\sqrt{7}}}.

491. {{16}^{{{\log }_{4}}\sqrt{14}}}.

492. {{16}^{{{\log }_{4}}\sqrt{3}}}.

493. {{4}^{{{\log }_{2}}\sqrt{5}}}.

494. {{9}^{{{\log }_{3}}\sqrt{6}}}.

495. {{81}^{{{\log }_{9}}\sqrt{6}}}.

496. \frac{14}{2^{{\log }_{2}7}}.

497. \frac{16}{3^{{\log }_{3}5}}.

498. \frac{33}{5^{{\log }_{5}11}}.

499. \frac{2}{6^{{\log }_{6}4}}.

500. \frac{8}{3^{{\log }_{3}4}}.

501. \frac{99}{6^{{\log }_{6}11}}.

502. \frac{14}{9^{{\log }_{9}7}}.

503. \frac{14}{4^{{\log }_{4}7}}.

504. \frac{10}{7^{{\log }_{7}10}}.

505. {\log }_{\frac{1}{3}}\sqrt{3}.

506. {\log }_{\frac{2}{23}}\sqrt{11,5}.

507. {\log }_{\frac{2}{25}}\sqrt{12,5}.

508. {\log }_{\frac{2}{9}}\sqrt{4,5}.

509. {\log }_{\frac{1}{12}}\sqrt{12}.

510. \frac{\log_{4}{\sqrt[10]{5}}}{\log_{4}5}.

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