Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39201	Expand the Logarithmic Expression	log base 3 of (7*11)/5	$\log_{3} (\frac{7 \cdot 11}{5})$
39202	Expand the Logarithmic Expression	log base 3 of 7/13	$\log_{3} (\frac{7}{13})$
39203	Expand the Logarithmic Expression	log base 3 of 7^4	$\log_{3} (7^{4})$
39204	Expand the Logarithmic Expression	log base 3 of 729/(x^2+8)	$\log_{3} (\frac{729}{x^{2} + 8})$
39205	Expand the Logarithmic Expression	log base 3 of 81^-3	$\log_{3} (81^{- 3})$
39206	Expand the Logarithmic Expression	log base 3 of (9a^3)/( fifth root of b)	$\log_{3} (\frac{9 a^{3}}{\sqrt[5]{b}})$
39207	Expand the Logarithmic Expression	log base 4 of 64^-0.3	$\log_{4} (64^{- 0.3})$
39208	Expand the Logarithmic Expression	log base 4 of (7 square root of 6)/5	$\log_{4} (\frac{7 \sqrt{6}}{5})$
39209	Expand the Logarithmic Expression	log base 4 of 7^3 cube root of 2	$\log_{4} (7^{3} \sqrt[3]{2})$
39210	Expand the Logarithmic Expression	log base 4 of (8 square root of 5)/3	$\log_{4} (\frac{8 \sqrt{5}}{3})$
39211	Expand the Logarithmic Expression	log base 4 of 8/11	$\log_{4} (\frac{8}{11})$
39212	Expand the Logarithmic Expression	log base 4 of (8m)/( square root of 2n)	$\log_{4} (\frac{8 m}{\sqrt{2} n})$
39213	Expand the Logarithmic Expression	log base 4 of (9 square root of 7)/5	$\log_{4} (\frac{9 \sqrt{7}}{5})$
39214	Expand the Logarithmic Expression	log base 4 of 9^8	$\log_{4} (9^{8})$
39215	Expand the Logarithmic Expression	log base 4 of a^3b^6	$\log_{4} (a^{3} b^{6})$
39216	Expand the Logarithmic Expression	log base 4 of AB^7	$\log_{4} (A B^{7})$
39217	Expand the Logarithmic Expression	log base 4 of c^3	$\log_{4} (c^{3})$
39218	Expand the Logarithmic Expression	log base 4 of square root of (b^7)/(b+3)	$\log_{4} (\sqrt{\frac{b^{7}}{b + 3}})$
39219	Expand the Logarithmic Expression	log base 4 of square root of a/b	$\log_{4} (\sqrt{\frac{a}{b}})$
39220	Expand the Logarithmic Expression	log base 4 of square root of x/64	$\log_{4} (\sqrt{\frac{x}{64}})$
39221	Expand the Logarithmic Expression	log base 4 of 39/9	$\log_{4} (\frac{39}{9})$
39222	Expand the Logarithmic Expression	log base 4 of (3y)/z	$\log_{4} (\frac{3 y}{z})$
39223	Expand the Logarithmic Expression	log base 4 of 4^(3x)	$\log_{4} (4^{3 x})$
39224	Expand the Logarithmic Expression	log base 4 of (xy^6)/(z^3)	$\log_{4} (\frac{x y^{6}}{z^{3}})$
39225	Expand the Logarithmic Expression	log base 4 of (yz^2)/(x^4)	$\log_{4} (\frac{y z^{2}}{x^{4}})$
39226	Expand the Logarithmic Expression	log base 4 of 1/( cube root of 16)	$\log_{4} (\frac{1}{\sqrt[3]{16}})$
39227	Expand the Logarithmic Expression	log base 4 of 1/2	$\log_{4} (\frac{1}{2})$
39228	Expand the Logarithmic Expression	log base 4 of 1/32	$\log_{4} (\frac{1}{32})$
39229	Expand the Logarithmic Expression	log base 4 of 1/9	$\log_{4} (\frac{1}{9})$
39230	Expand the Logarithmic Expression	log base 4 of 15/7	$\log_{4} (\frac{15}{7})$
39231	Expand the Logarithmic Expression	log base 4 of 16/( square root of x+6)	$\log_{4} (\frac{16}{\sqrt{x + 6}})$
39232	Expand the Logarithmic Expression	log base 4 of 16/( square root of x+8)	$\log_{4} (\frac{16}{\sqrt{x + 8}})$
39233	Expand the Logarithmic Expression	log base 4.123105626 of 11	$\log_{4.1\overline{231056}} (11)$
39234	Expand the Logarithmic Expression	log base 4.5 of 2.7	$\log_{4.5} (2.7)$
39235	Expand the Logarithmic Expression	log base 4 of (x^6y^4)/9	$\log_{4} (\frac{x^{6} y^{4}}{9})$
39236	Expand the Logarithmic Expression	log base 4 of (xy^5)/(z^4)	$\log_{4} (\frac{x y^{5}}{z^{4}})$
39237	Expand the Logarithmic Expression	log base 4 of (16x^2)/( cube root of x-1)	$\log_{4} (\frac{16 x^{2}}{\sqrt[3]{x - 1}})$
39238	Expand the Logarithmic Expression	log base 4 of ( cube root of a+1)/((ab)^4)	$\log_{4} (\frac{\sqrt[3]{a + 1}}{{(a b)}^{4}})$
39239	Expand the Logarithmic Expression	log base 4 of (19 square root of m)/n	$\log_{4} (\frac{19 \sqrt{m}}{n})$
39240	Expand the Logarithmic Expression	log base 4 of (5y)/z	$\log_{4} (\frac{5 y}{z})$
39241	Expand the Logarithmic Expression	log base 4 of ( square root of x^2-3)/( fourth root of 6+x^2)	$\log_{4} (\frac{\sqrt{x^{2} - 3}}{\sqrt[4]{6 + x^{2}}})$
39242	Expand the Logarithmic Expression	log base 4 of ( square root of 12)/11	$\log_{4} (\frac{\sqrt{12}}{11})$
39243	Expand the Logarithmic Expression	log base 4 of ( square root of c)/64	$\log_{4} (\frac{\sqrt{c}}{64})$
39244	Expand the Logarithmic Expression	log base 4 of ( square root of x)/(yz^2)	$\log_{4} (\frac{\sqrt{x}}{y z^{2}})$
39245	Expand the Logarithmic Expression	log base 4 of ( square root of x)/16	$\log_{4} (\frac{\sqrt{x}}{16})$
39246	Expand the Logarithmic Expression	log base 3 of x-9=2	$\log_{3} (x - 9) = 2$
39247	Expand the Logarithmic Expression	log base 3 of xyz	$\log_{3} (x y z)$
39248	Expand the Logarithmic Expression	log base 3 of z cube root of x*y	$\log_{3} (z \sqrt[3]{x \cdot y})$
39249	Expand the Logarithmic Expression	log base 3 of 4 square root of 11/(s^2r)	$\log_{3} (4 \sqrt{\frac{11}{s^{2} r}})$
39250	Expand the Logarithmic Expression	log base 4 of ( square root of z)/64	$\log_{4} (\frac{\sqrt{z}}{64})$
39251	Expand the Logarithmic Expression	log base 4 of ( cube root of z)/(16y^3)	$\log_{4} (\frac{\sqrt[3]{z}}{16 y^{3}})$
39252	Expand the Logarithmic Expression	log base 4 of (wy^5)/( square root of xz^2)	$\log_{4} (\frac{w y^{5}}{\sqrt{x z^{2}}})$
39253	Expand the Logarithmic Expression	log base 4 of (wz^5)/( square root of xy^5)	$\log_{4} (\frac{w z^{5}}{\sqrt{x y^{5}}})$
39254	Expand the Logarithmic Expression	log base 4 of (x^3y^2)/( square root of w)	$\log_{4} (\frac{x^{3} y^{2}}{\sqrt{w}})$
39255	Expand the Logarithmic Expression	log base 4 of (x^3)/(1024y^5)	$\log_{4} (\frac{x^{3}}{1024 y^{5}})$
39256	Expand the Logarithmic Expression	log base 4 of (x^4)/(y^3)	$\log_{4} (\frac{x^{4}}{y^{3}})$
39257	Expand the Logarithmic Expression	log base 4 of (x^4)/(y^7)	$\log_{4} (\frac{x^{4}}{y^{7}})$
39258	Expand the Logarithmic Expression	log base 4 of 36	$\log_{4} (36)$
39259	Expand the Logarithmic Expression	log base 4 of 36- log base 4 of 9	$\log_{4} (36) - \log_{4} (9)$
39260	Expand the Logarithmic Expression	log base 4 of 4*(16x^3)	$\log_{4} (4) \cdot (16 x^{3})$
39261	Expand the Logarithmic Expression	log base 4 of 48x+16y	$\log_{4} (48 x + 16 y)$
39262	Expand the Logarithmic Expression	log base 4 of 49	$\log_{4} (49)$
39263	Expand the Logarithmic Expression	log base 4 of 134	$\log_{4} (134)$
39264	Expand the Logarithmic Expression	log base 4 of 15	$\log_{4} (15)$
39265	Expand the Logarithmic Expression	log base 4 of 12	$\log_{4} (12)$
39266	Expand the Logarithmic Expression	log base 4 of 1024	$\log_{4} (1024)$
39267	Expand the Logarithmic Expression	log base 4 of 2+ log base 4 of 32	$\log_{4} (2) + \log_{4} (32)$
39268	Expand the Logarithmic Expression	log base 4 of 20x+8y	$\log_{4} (20 x + 8 y)$
39269	Expand the Logarithmic Expression	log base 4 of 23	$\log_{4} (23)$
39270	Expand the Logarithmic Expression	log base 4 of 24	$\log_{4} (24)$
39271	Expand the Logarithmic Expression	log base 4 of 25	$\log_{4} (25)$
39272	Expand the Logarithmic Expression	log base 4 of 25- log base 4 of 5	$\log_{4} (25) - \log_{4} (5)$
39273	Expand the Logarithmic Expression	log base 4 of 28- log base 4 of 7	$\log_{4} (28) - \log_{4} (7)$
39274	Expand the Logarithmic Expression	log base 4 of 29	$\log_{4} (29)$
39275	Expand the Logarithmic Expression	log base 4 of 2x	$\log_{4} (2 x)$
39276	Expand the Logarithmic Expression	log base 4 of 2x+5y	$\log_{4} (2 x + 5 y)$
39277	Expand the Logarithmic Expression	log base 4 of 3.5	$\log_{4} (3.5)$
39278	Expand the Logarithmic Expression	log base 4 of 3xy^2	$\log_{4} (3 x y^{2})$
39279	Expand the Logarithmic Expression	log base 4 of 64/(v(x-3))	$\log_{4} (\frac{64}{v (x - 3)})$
39280	Expand the Logarithmic Expression	log base 4 of 64/( square root of x+2)	$\log_{4} (\frac{64}{\sqrt{x + 2}})$
39281	Expand the Logarithmic Expression	log base 4 of 64/( square root of x+6)	$\log_{4} (\frac{64}{\sqrt{x + 6}})$
39282	Expand the Logarithmic Expression	log base 4 of 64/( square root of x+9)	$\log_{4} (\frac{64}{\sqrt{x + 9}})$
39283	Expand the Logarithmic Expression	log base 4 of (x^6)/(y^6z^4)	$\log_{4} (\frac{x^{6}}{y^{6} z^{4}})$
39284	Expand the Logarithmic Expression	log base 4 of square root of x^3	$\log_{4} (\sqrt{x^{3}})$
39285	Expand the Logarithmic Expression	log base 4 of square root of (x-3)/(x+3)	$\log_{4} (\sqrt{\frac{x - 3}{x + 3}})$
39286	Expand the Logarithmic Expression	log base 4 of 3/2	$\log_{4} (\frac{3}{2})$
39287	Expand the Logarithmic Expression	log base 4 of square root of 325	$\log_{4} (\sqrt{3 \cdot 2 \cdot 5})$
39288	Expand the Logarithmic Expression	log base 4 of cube root of x^2-4x	$\log_{4} (\sqrt[3]{x^{2} - 4 x})$
39289	Expand the Logarithmic Expression	log base 4 of cube root of (16((x-3)^2(x+5)^6))/((x-1)^2(x+3))	$\log_{4} (\sqrt[3]{\frac{16 ({(x - 3)}^{2} {(x + 5)}^{6})}{{(x - 1)}^{2} (x + 3)}})$
39290	Expand the Logarithmic Expression	log base 4 of fifth root of 16	$\log_{4} (\sqrt[5]{16})$
39291	Expand the Logarithmic Expression	log base 4 of (x square root of y)/(z^3)	$\log_{4} (\frac{x \sqrt{y}}{z^{3}})$
39292	Expand the Logarithmic Expression	log base 4 of x^2-16	$\log_{4} (x^{2} - 16)$
39293	Expand the Logarithmic Expression	log base 4 of xy^2	$\log_{4} (x y^{2})$
39294	Expand the Logarithmic Expression	log base 2 of fifth root of 16	$\log_{2} (\sqrt[5]{16})$
39295	Expand the Logarithmic Expression	log base 2 of fifth root of 8	$\log_{2} (\sqrt[5]{8})$
39296	Expand the Logarithmic Expression	log base 2 of (xy)/3	$\log_{2} (\frac{x y}{3})$
39297	Expand the Logarithmic Expression	log base 2 of xy^2	$\log_{2} (x y^{2})$
39298	Expand the Logarithmic Expression	log base 2 of y/(z^(1/3))	$\log_{2} (\frac{y}{z^{\frac{1}{3}}})$
39299	Expand the Logarithmic Expression	log base 2 of z/17	$\log_{2} (\frac{z}{17})$
39300	Expand the Logarithmic Expression	log base 2 of x^2-25	$\log_{2} (x^{2} - 25)$