Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23201	Simplify/Condense	log base 4 of x^2+2x-35- log base 4 of x-5	$\log_{4} (x^{2} + 2 x - 35) - \log_{4} (x - 5)$
23202	Simplify/Condense	log base 4 of 192+ log base 4 of 3	$\log_{4} (192) + \log_{4} (3)$
23203	Simplify/Condense	log base 4 of 20- log base 4 of 40+ log base 4 of 144	$\log_{4} (20) - \log_{4} (40) + \log_{4} (144)$
23204	Simplify/Condense	log base 4 of 2+ log base 4 of 34	$\log_{4} (2) + \log_{4} (34)$
23205	Simplify/Condense	log base 4 of 2+ log base 4 of 7+ log base 4 of 11	$\log_{4} (2) + \log_{4} (7) + \log_{4} (11)$
23206	Simplify/Condense	log base 4 of 100	$\log_{4} (100)$
23207	Simplify/Condense	log base 4 of 1024	$\log_{4} (1024)$
23208	Simplify/Condense	log base 4 of 11- log base 4 of 5	$\log_{4} (11) - \log_{4} (5)$
23209	Simplify/Condense	log base 4 of 115	$\log_{4} (115)$
23210	Simplify/Condense	log base 4 of 12- log base 4 of 24	$\log_{4} (12) - \log_{4} (24)$
23211	Simplify/Condense	log base 4 of 12- log base 4 of 3	$\log_{4} (12 - \log_{4} (3))$
23212	Simplify/Condense	log base 4 of 128	$\log_{4} (128)$
23213	Simplify/Condense	log base 4 of x^2-64-6 log base 4 of x+8	$\log_{4} (x^{2} - 64) - 6 \log_{4} (x + 8)$
23214	Simplify/Condense	log base 4 of 0.125	$\log_{4} (0.125)$
23215	Simplify/Condense	log base 4 of square root of 12+ log base 4 of square root of 9- log base 4 of square root of 27	$\log_{4} (\sqrt{12}) + \log_{4} (\sqrt{9}) - \log_{4} (\sqrt{27})$
23216	Simplify/Condense	log base 4 of square root of 5.5- log base 4 of square root of 5.5-1	$\log_{4} (\sqrt{5.5}) - \log_{4} (\sqrt{5.5} - 1)$
23217	Simplify/Condense	log base 4 of fifth root of 64	$\log_{4} (\sqrt[5]{64})$
23218	Simplify/Condense	log base 4 of x^2-1-5 log base 4 of x-1	$\log_{4} (x^{2} - 1) - 5 \log_{4} (x - 1)$
23219	Simplify/Condense	log base 4 of x^2-15x+54- log base 4 of x-6	$\log_{4} (x^{2} - 15 x + 54) - \log_{4} (x - 6)$
23220	Simplify/Condense	log base 4 of x^2-16-2 log base 4 of x+4	$\log_{4} (x^{2} - 16) - 2 \log_{4} (x + 4)$
23221	Simplify/Condense	log base 4 of x^2-4-5 log base 4 of x+2	$\log_{4} (x^{2} - 4) - 5 \log_{4} (x + 2)$
23222	Simplify/Condense	log base 4 of x^2-49-6 log base 4 of x+7	$\log_{4} (x^{2} - 49) - 6 \log_{4} (x + 7)$
23223	Simplify/Condense	log base 4 of 20- log base 4 of 5	$\log_{4} (20) - \log_{4} (5)$
23224	Simplify/Condense	log base 4 of 21- log base 4 of 3	$\log_{4} (21) - \log_{4} (3)$
23225	Simplify/Condense	log base 4 of 64- log base 4 of y	$\log_{4} (64) - \log_{4} (y)$
23226	Simplify/Condense	log base 4 of 6x-2-1	$\log_{4} (6 x - 2) - 1$
23227	Simplify/Condense	log base 4 of 7- log base 4 of 5	$\log_{4} (7) - \log_{4} (5)$
23228	Simplify/Condense	log base 4 of 7.416-3+ log base 4 of 7.416-3	$\log_{4} (7.416 - 3) + \log_{4} (7.416 - 3)$
23229	Simplify/Condense	log base 4 of x- log base 4 of y+3 log base 4 of z	$\log_{4} (x) - \log_{4} (y) + 3 \log_{4} (z)$
23230	Simplify/Condense	log base 4 of x+2 log base 2 of x	$\log_{4} (x) + 2 \log_{2} (x)$
23231	Simplify/Condense	log base 4 of x+ log base 4 of 2x=8	$\log_{4} (x) + \log_{4} (2 x) = 8$
23232	Simplify/Condense	log base 4 of x+16 log base 16 of w	$\log_{4} (x) + 16 \log_{16} (w)$
23233	Simplify/Condense	log base 4 of x+2 log base 4 of x-5 log base 4 of x	$\log_{4} (x) + 2 \log_{4} (x) - 5 \log_{4} (x)$
23234	Simplify/Condense	log base 4 of x+1-2 log base 4 of x-1-6 log base 4 of x	$\log_{4} (x + 1) - 2 \log_{4} (x - 1) - 6 \log_{4} (x)$
23235	Solve for x	\|x^2+x\|=12	$\| x^{2} + x \| = 12$
23236	Simplify/Condense	( log base 4 of x+41)/4 log base 4 of x	$\frac{\log_{4} (x + 4) \cdot 1}{4} \cdot \log_{4} (x)$
23237	Simplify/Condense	log base 4 of 4 square root of 4	$\log_{4} (4 \sqrt{4})$
23238	Simplify/Condense	log base 4 of 40	$\log_{4} (40)$
23239	Simplify/Condense	log base 4 of 45- log base 4 of 9	$\log_{4} (45) - \log_{4} (9)$
23240	Simplify/Condense	log base 4 of 48- log base 4 of 3	$\log_{4} (48) - \log_{4} (3)$
23241	Simplify/Condense	log base 4 of 5- log base 4 of 5/11	$\log_{4} (5) - \log_{4} (\frac{5}{11})$
23242	Simplify/Condense	log base 4 of 5+ log base 4 of 5/11	$\log_{4} (5) + \log_{4} (\frac{5}{11})$
23243	Simplify/Condense	log base 4 of 512- log base 4 of 2	$\log_{4} (512) - \log_{4} (2)$
23244	Simplify/Condense	log base 4 of 576- log base 4 of 9	$\log_{4} (576) - \log_{4} (9)$
23245	Simplify/Condense	log base 4 of 24+ log base 4 of 64/3- log base 4 of 32	$\log_{4} (24) + \log_{4} (\frac{64}{3}) - \log_{4} (32)$
23246	Simplify/Condense	log base 4 of 24- log of 4*6	$\log_{4} (24) - \log (4) \cdot 6$
23247	Simplify/Condense	log base 4 of 3* log base 3 of 16	$\log_{4} (3) \cdot \log_{3} (16)$
23248	Simplify/Condense	log base 4 of 32- log base 4 of 8	$\log_{4} (32) - \log_{4} (8)$
23249	Simplify/Condense	log base 4 of 35- log base 4 of 16- log base 4 of 35	$\log_{4} (35) - \log_{4} (16) - \log_{4} (35)$
23250	Simplify/Condense	log base 4 of 35- log base 4 of 5	$\log_{4} (35) - \log_{4} (5)$
23251	Simplify/Condense	log base 3 of 8- log base 2 of 4	$\log_{3} (8) - \log_{2} (4)$
23252	Simplify/Condense	log base 3 of 80x-2+ log base 3 of x^2-1	$\log_{3} (80 x) - 2 + \log_{3} (x^{2} - 1)$
23253	Simplify/Condense	log base 3 of 81+ log base 3 of 81	$\log_{3} (81) + \log_{3} (81)$
23254	Simplify/Condense	log base 3 of 81-2	$\log_{3} (81) - 2$
23255	Simplify/Condense	log base 3 of 81*27	$\log_{3} (81 \cdot 27)$
23256	Simplify/Condense	log base 3 of 9- log base 5 of 5^3+ log base 7 of 7^2- log base 11 of 1	$\log_{3} (9) - \log_{5} (5^{3}) + \log_{7} (7^{2}) - \log_{11} (1)$
23257	Simplify/Condense	log base 3 of 9*27	$\log_{3} (9 \cdot 27)$
23258	Simplify/Condense	log base 3 of 90*283	$\log_{3} (90 \cdot 283)$
23259	Simplify/Condense	log base 3 of 9w	$\log_{3} (9 w)$
23260	Simplify/Condense	log base 3 of 9x- log base 3 of x-8*4	$\log_{3} (9 x) - \log_{3} (x - 8) \cdot 4$
23261	Simplify/Condense	log base 3 of sin(x)- log base 3 of cos(x)	$\log_{3} (\sin (x)) - \log_{3} (\cos (x))$
23262	Simplify/Condense	log base 3 of tan(x)+ log base 3 of cot(x)	$\log_{3} (\tan (x)) + \log_{3} (\cot (x))$
23263	Simplify/Condense	- log base 3 of x	$- \log_{3} (x)$
23264	Simplify/Condense	log base 3 of 5* log base 5 of 27	$\log_{3} (5) \cdot \log_{5} (27)$
23265	Simplify/Condense	log base 3 of 5* log base 5 of 7* log base 7 of 11	$\log_{3} (5) \cdot \log_{5} (7) \cdot \log_{7} (11)$
23266	Simplify/Condense	log base 3 of 5+ log base 3 of 7+ log base 3 of x	$\log_{3} (5) + \log_{3} (7) + \log_{3} (x)$
23267	Simplify/Condense	log base 3 of 32- log base 3 of 4	$\log_{3} (32) - \log_{3} (4)$
23268	Simplify/Condense	log base 3 of 343	$\log_{3} (343)$
23269	Simplify/Condense	log base 3 of 36+ log base 3 of 4	$\log_{3} (36) + \log_{3} (4)$
23270	Simplify/Condense	log base 3 of 3x-2- log base 3 of x+2	$\log_{3} (3 x) - 2 - \log_{3} (x + 2)$
23271	Solve for y	y=arcsec(1)	$y = arcsec (1)$
23272	Simplify/Condense	log base 3 of 40	$\log_{3} (40)$
23273	Simplify/Condense	log base 3 of 5y	$\log_{3} (5 y)$
23274	Simplify/Condense	log base 3 of 60- log base 3 of 12- log base 3 of 35	$\log_{3} (60) - \log_{3} (12) - \log_{3} (35)$
23275	Simplify/Condense	log base 3 of 7*5	$\log_{3} (7) \cdot 5$
23276	Simplify/Condense	log base 3 of 7 square root of x^5+ log base 3 of 7 square root of y^2- log base 3 of 7 square root of 3	$\log_{3} (7) \sqrt{x^{5}} + \log_{3} (7) \sqrt{y^{2}} - \log_{3} (7) \sqrt{3}$
23277	Simplify/Condense	log base 3 of 70+ log base 3 of 18- log base 3 of 35	$\log_{3} (70) + \log_{3} (18) - \log_{3} (35)$
23278	Simplify/Condense	log base 3 of 729* log base 3 of 243	$\log_{3} (729) \cdot \log_{3} (243)$
23279	Simplify/Condense	log base 3 of x-4+2 log base 3 of x+4- log base 3 of x^3+x^2-16x-16	$\log_{3} (x - 4) + 2 \log_{3} (x + 4) - \log_{3} (x^{3} + x^{2} - 16 x - 16)$
23280	Simplify/Condense	log base 32 of 56- log base 32 of 7	$\log_{32} (56) - \log_{32} (7)$
23281	Simplify/Condense	log base 32 of 8	$\log_{32} (8)$
23282	Simplify/Condense	log base 36 of 1/36- log base 2 of 16	$\log_{36} (\frac{1}{36}) - \log_{2} (16)$
23283	Simplify/Condense	log base 36 of fifth root of 6	$\log_{36} (\sqrt[5]{6})$
23284	Simplify/Condense	log base 36 of 18+ log base 36 of 2	$\log_{36} (18) + \log_{36} (2)$
23285	Simplify/Condense	log base 3x of 2	$\log_{3 x} (2)$
23286	Simplify/Condense	log base 4 of (5 square root of r)/p	$\log_{4} (\frac{5 \sqrt{r}}{p})$
23287	Simplify/Condense	log base 3 of x+6+ log base 3 of x=9	$\log_{3} (x + 6) + \log_{3} (x) = 9$
23288	Simplify/Condense	log base 3 of x+9	$\log_{3} (x + 9)$
23289	Simplify/Condense	log base 4 of 64/( square root of x+3)	$\log_{4} (\frac{64}{\sqrt{x + 3}})$
23290	Simplify/Condense	log base 4 of 64/y	$\log_{4} (\frac{64}{y})$
23291	Simplify/Condense	log base 4 of 9/5+ log base 4 of 5	$\log_{4} (\frac{9}{5}) + \log_{4} (5)$
23292	Simplify/Condense	log base 4 of 16/( square root of x+7)	$\log_{4} (\frac{16}{\sqrt{x + 7}})$
23293	Simplify/Condense	log base 4 of 16^300	$\log_{4} (16^{300})$
23294	Simplify/Condense	log base 4 of 4^(3x)	$\log_{4} (4^{3 x})$
23295	Simplify/Condense	log base 4 of 0.12^k	$\log_{4} ({0.12}^{k})$
23296	Simplify/Condense	log base 4 of 1/2	$\log_{4} (\frac{1}{2})$
23297	Simplify/Condense	log base 3 of x+ log base 3 of y-2 log base 3 of r	$\log_{3} (x) + \log_{3} (y) - 2 \log_{3} (r)$
23298	Simplify/Condense	log base 3 of x+18 log base 27 of w	$\log_{3} (x) + 18 \log_{27} (w)$
23299	Simplify/Condense	log base 5 of 5^(3/4)- log base 5 of 5^2	$\log_{5} (5^{\frac{3}{4}}) - \log_{5} (5^{2})$
23300	Simplify/Condense	log base 5 of 5^(3x)	$\log_{5} (5^{3 x})$