Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16401	Write in Exponential Form	log base 3 of 9=x	$\log_{3} (9) = x$
16402	Write in Exponential Form	log base 4 of 2=x	$\log_{4} (2) = x$
16403	Write in Exponential Form	log base 4 of 5x=2	$\log_{4} (5 x) = 2$
16404	Write in Exponential Form	6^( log base 2 of x)=36	$6^{\log_{2} (x)} = 36$
16405	Write in Exponential Form	log base 0.5 of x^2+x = log of x^2-x=-1	$\log_{0.5} (x^{2} + x) = \log (x^{2} - x) = - 1$
16406	Write in Exponential Form	log base 16 of x=3/4	$\log_{16} (x) = \frac{3}{4}$
16407	Write in Exponential Form	log base 2 of 6x-8 = log base 2 of 3x+7	$\log_{2} (6 x - 8) = \log_{2} (3 x + 7)$
16408	Write in Exponential Form	log base 2 of 9x+5=5	$\log_{2} (9 x + 5) = 5$
16409	Write in Exponential Form	log base 3 of 4x-7=2	$\log_{3} (4 x - 7) = 2$
16410	Write in Exponential Form	log base 3 of x^2-9- log base 3 of x+3=2	$\log_{3} (x^{2} - 9) - \log_{3} (x + 3) = 2$
16411	Write in Exponential Form	log base 3 of x^2+5 = log base 3 of 4x^2-2x	$\log_{3} (x^{2} + 5) = \log_{3} (4 x^{2} - 2 x)$
16412	Write in Exponential Form	log base 2 of x+ log base 8 of x=2	$\log_{2} (x) + \log_{8} (x) = 2$
16413	Write in Exponential Form	log base 2 of x-15-3 = log base 2 of x-1	$\log_{2} (x - 15) - 3 = \log_{2} (x - 1)$
16414	Write in Exponential Form	3^( log base 4 of x)=81	$3^{\log_{4} (x)} = 81$
16415	Write in Exponential Form	10^-2.8=10^( log of x)	$10^{- 2.8} = 10^{\log (x)}$
16416	Solve for x	7.1 = log of x	$7.1 = \log (x)$
16417	Write in Exponential Form	0.026 = natural log of 0.035	$0.026 = \ln (0.035)$
16418	Write in Exponential Form	log of P = log of c-k log of W	$\log (P) = \log (c) - k \log (W)$
16419	Write in Exponential Form	3^( log base 4 of x)=9	$3^{\log_{4} (x)} = 9$
16420	Write in Exponential Form	3 log base 2 of x=- log base 2 of 27	$3 \log_{2} (x) = - \log_{2} (27)$
16421	Write in Exponential Form	2 log of x = log of 49	$2 \log (x) = \log (49)$
16422	Write in Exponential Form	natural log of 4064/3225=0.051t natural log of e	$\ln (\frac{4064}{3225}) = 0.051 t \ln (e)$
16423	Expand the Logarithmic Expression	log of 1000x^3y^5	$\log (1000 x^{3} y^{5})$
16424	Expand the Logarithmic Expression	log of 1000x^4	$\log (1000 x^{4})$
16425	Expand the Logarithmic Expression	log of 1000x^4y^6	$\log (1000 x^{4} y^{6})$
16426	Expand the Logarithmic Expression	log of 10000- log of 1000	$\log (10000) - \log (1000)$
16427	Expand the Logarithmic Expression	log of zy^5	$\log (z y^{5})$
16428	Expand the Logarithmic Expression	log of z^9x	$\log (z^{9} x)$
16429	Expand the Logarithmic Expression	log of xy^3	$\log (x y^{3})$
16430	Expand the Logarithmic Expression	log of yx^9	$\log (y x^{9})$
16431	Expand the Logarithmic Expression	log of 2(6x)	$\log (2) (6 x)$
16432	Expand the Logarithmic Expression	log of 2x^3y	$\log (2 x^{3} y)$
16433	Expand the Logarithmic Expression	log of 18	$\log (18)$
16434	Expand the Logarithmic Expression	log of -2x	$\log (- 2 x)$
16435	Expand the Logarithmic Expression	log of 3*(11p^3)	$\log (3) \cdot (11 p^{3})$
16436	Expand the Logarithmic Expression	log of 3x^2y	$\log (3 x^{2} y)$
16437	Expand the Logarithmic Expression	log of 3x^3	$\log (3 x^{3})$
16438	Expand the Logarithmic Expression	log of 6x^7y	$\log (6 x^{7} y)$
16439	Expand the Logarithmic Expression	log of 6x^2y	$\log (6 x^{2} y)$
16440	Write in Exponential Form	e^2 natural log of x=9	$e^{2} \ln (x) = 9$
16441	Expand the Logarithmic Expression	log of 85	$\log (85)$
16442	Expand the Logarithmic Expression	natural log of 77	$\ln (77)$
16443	Expand the Logarithmic Expression	natural log of cd	$\ln (c d)$
16444	Expand the Logarithmic Expression	natural log of AB	$\ln (A B)$
16445	Expand the Logarithmic Expression	natural log of a-b	$\ln (a - b)$
16446	Expand the Logarithmic Expression	natural log of 2x+3	$\ln (2 x + 3)$
16447	Expand the Logarithmic Expression	natural log of 4x	$\ln (4 x)$
16448	Expand the Logarithmic Expression	natural log of x^6y^3	$\ln (x^{6} y^{3})$
16449	Expand the Logarithmic Expression	log of (10^x)/(x(x^(2+1))(x^4+2))	$\log (\frac{10^{x}}{x (x^{2 + 1}) (x^{4} + 2)})$
16450	Expand the Logarithmic Expression	natural log of x-y	$\ln (x - y)$
16451	Expand the Logarithmic Expression	log of (x^5y)/z	$\log (\frac{x^{5} y}{z})$
16452	Expand the Logarithmic Expression	log of ((x+3)^2)/((x-2)(x^2+5)^4)	$\log (\frac{{(x + 3)}^{2}}{(x - 2) {(x^{2} + 5)}^{4}})$
16453	Expand the Logarithmic Expression	log of (t^3u^2)/( fifth root of v)	$\log (\frac{t^{3} u^{2}}{\sqrt[5]{v}})$
16454	Expand the Logarithmic Expression	log of (10x^5 cube root of 5-x)/(7(x+6)^2)	$\log (\frac{10 x^{5} \sqrt[3]{5 - x}}{7 {(x + 6)}^{2}})$
16455	Expand the Logarithmic Expression	natural log of x-8( natural log of x-3+ natural log of x+3)	$\ln (x - 8) (\ln (x - 3) + \ln (x + 3))$
16456	Expand the Logarithmic Expression	natural log of square root of 3r^2s	$\ln (\sqrt{3 r^{2} s})$
16457	Expand the Logarithmic Expression	natural log of square root of (x^4)/(y^5)	$\ln (\sqrt{\frac{x^{4}}{y^{5}}})$
16458	Expand the Logarithmic Expression	natural log of e^5x^2	$\ln (e^{5} x^{2})$
16459	Expand the Logarithmic Expression	natural log of (5x^6)/(11y^7)	$\ln (\frac{5 x^{6}}{11 y^{7}})$
16460	Expand the Logarithmic Expression	natural log of e^(x^2)	$\ln (e^{x^{2}})$
16461	Expand the Logarithmic Expression	natural log of cube root of ey	$\ln (\sqrt[3]{e y})$
16462	Expand the Logarithmic Expression	natural log of fifth root of e^3	$\ln (\sqrt[5]{e^{3}})$
16463	Expand the Logarithmic Expression	natural log of fifth root of 4r^3s	$\ln (\sqrt[5]{4 r^{3} s})$
16464	Expand the Logarithmic Expression	natural log of cube root of 4r^3s	$\ln (\sqrt[3]{4 r^{3} s})$
16465	Expand the Logarithmic Expression	natural log of fourth root of (xy)/(ez)	$\ln (\sqrt[4]{\frac{x y}{e z}})$
16466	Expand the Logarithmic Expression	natural log of (x(x+1))/((x-1)^2)	$\ln (\frac{x (x + 1)}{{(x - 1)}^{2}})$
16467	Expand the Logarithmic Expression	natural log of x/(e^(6x))	$\ln (\frac{x}{e^{6 x}})$
16468	Expand the Logarithmic Expression	natural log of x/(zw^2)	$\ln (\frac{x}{z w^{2}})$
16469	Expand the Logarithmic Expression	natural log of x/4	$\ln (\frac{x}{4})$
16470	Expand the Logarithmic Expression	natural log of x^14 square root of 7-x	$\ln (x^{14} \sqrt{7 - x})$
16471	Expand the Logarithmic Expression	natural log of x^2y^2z	$\ln (x^{2} y^{2} z)$
16472	Expand the Logarithmic Expression	natural log of x^2y^5	$\ln (x^{2} y^{5})$
16473	Expand the Logarithmic Expression	natural log of x^2-2 natural log of square root of x	$\ln (x^{2} - 2 \ln (\sqrt{x}))$
16474	Expand the Logarithmic Expression	natural log of x^4y^3	$\ln (x^{4} y^{3})$
16475	Expand the Logarithmic Expression	log of x^3y	$\log (x^{3} y)$
16476	Expand the Logarithmic Expression	log of x/(z^2)	$\log (\frac{x}{z^{2}})$
16477	Expand the Logarithmic Expression	log of y/(x^8)	$\log (\frac{y}{x^{8}})$
16478	Expand the Logarithmic Expression	log of fourth root of x^2+y^2	$\log (\sqrt[4]{x^{2} + y^{2}})$
16479	Expand the Logarithmic Expression	log of ( cube root of x+2)/(cos(5x))	$\log (\frac{\sqrt[3]{x + 2}}{\cos (5 x)})$
16480	Expand the Logarithmic Expression	log of square root of y^9z^5x	$\log (\sqrt{y^{9} z^{5} x})$
16481	Expand the Logarithmic Expression	log of square root of x^5 square root of y^3 square root of z^3	$\log (\sqrt{x^{5} \sqrt{y^{3} \sqrt{z^{3}}}})$
16482	Expand the Logarithmic Expression	log of square root of zx^9y^5	$\log (\sqrt{z x^{9} y^{5}})$
16483	Expand the Logarithmic Expression	log of square root of x^7y^5z	$\log (\sqrt{x^{7} y^{5} z})$
16484	Expand the Logarithmic Expression	log of square root of x^7y	$\log (\sqrt{x^{7} y})$
16485	Expand the Logarithmic Expression	log of square root of 10000s	$\log (\sqrt{10000 s})$
16486	Expand the Logarithmic Expression	log of cube root of a/b	$\log (\sqrt[3]{\frac{a}{b}})$
16487	Expand the Logarithmic Expression	log of 6^10	$\log (6^{10})$
16488	Expand the Logarithmic Expression	log of square root of (xy^9)/(z^3)	$\log (\sqrt{\frac{x y^{9}}{z^{3}}})$
16489	Expand the Logarithmic Expression	log of (6 square root of a)/(b^9(c-1)^(1/5))	$\log (\frac{6 \sqrt{a}}{b^{9} {(c - 1)}^{\frac{1}{5}}})$
16490	Expand the Logarithmic Expression	log of square root of (4xy)/z	$\log (\sqrt{\frac{4 x y}{z}})$
16491	Expand the Logarithmic Expression	log of (y^2)/z	$\log (\frac{y^{2}}{z})$
16492	Expand the Logarithmic Expression	log of (6x^5)/y	$\log (\frac{6 x^{5}}{y})$
16493	Expand the Logarithmic Expression	log of 2^2015*175^175	$\log (2^{2015} \cdot 175^{175})$
16494	Expand the Logarithmic Expression	log of ( cube root of x^4)/(y^2)	$\log (\frac{\sqrt[3]{x^{4}}}{y^{2}})$
16495	Expand the Logarithmic Expression	log of (x^2)/(y^2z^3)	$\log (\frac{x^{2}}{y^{2} z^{3}})$
16496	Expand the Logarithmic Expression	log of (x^4y)/z	$\log (\frac{x^{4} y}{z})$
16497	Expand the Logarithmic Expression	log of ( square root of x)/(10000y^8)	$\log (\frac{\sqrt{x}}{10000 y^{8}})$
16498	Expand the Logarithmic Expression	log of ( square root of xy)/1000	$\log (\frac{\sqrt{x y}}{1000})$
16499	Expand the Logarithmic Expression	log of ( square root of zx^4)/(y^7)	$\log (\frac{\sqrt{z x^{4}}}{y^{7}})$
16500	Expand the Logarithmic Expression	log base 81 of 27	$\log_{81} (27)$