Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1901	Evaluate	( log of 16)/( log of 4)	$\frac{\log (16)}{\log (4)}$
1902	Evaluate	e^( natural log of 6x)	$e^{\ln (6 x)}$
1903	Evaluate	e^( natural log of 1/2)	$e^{\ln (\frac{1}{2})}$
1904	Evaluate	8^( log base 8 of 30)	$8^{\log_{8} (30)}$
1905	Evaluate	8^( log base 8 of 6)	$8^{\log_{8} (6)}$
1906	Evaluate	e^(2 natural log of 8)	$e^{2 \ln (8)}$
1907	Evaluate	e^(1/2* natural log of 81/64)	$e^{\frac{1}{2} \cdot \ln (\frac{81}{64})}$
1908	Evaluate	( natural log of 1/2)/10	$\frac{\ln (\frac{1}{2})}{10}$
1909	Evaluate	log base 5 of (5)^2	$\log_{5} ({(5)}^{2})$
1910	Evaluate	10^( log of 53)	$10^{\log (53)}$
1911	Evaluate	3^( log base 3 of 17)	$3^{\log_{3} (17)}$
1912	Evaluate	6^( log base 6 of 13)	$6^{\log_{6} (13)}$
1913	Evaluate	log base 16 of square root of 2	$\log_{16} (\sqrt{2})$
1914	Evaluate	log base 2 of 8^(1/2)	$\log_{2} (8^{\frac{1}{2}})$
1915	Evaluate	log base 2 of 1/256	$\log_{2} (\frac{1}{256})$
1916	Evaluate	log base 18 of 2.3	$\log_{18} (2.3)$
1917	Evaluate	log base 2 of 16x	$\log_{2} (16 x)$
1918	Evaluate	log base 2 of log base 7 of 49	$\log_{2} (\log_{7} (49))$
1919	Evaluate	log base 2 of square root of x- log base 2 of x^7	$\log_{2} (\sqrt{x}) - \log_{2} (x^{7})$
1920	Evaluate	log base 13 of 13	$\log_{13} (13)$
1921	Evaluate	log base 12 of 2	$\log_{12} (2)$
1922	Evaluate	log base 128 of 2	$\log_{128} (2)$
1923	Evaluate	( log of 6)/( log of 5)	$\frac{\log (6)}{\log (5)}$
1924	Evaluate	( log of 82)/( log of p)	$\frac{\log (82)}{\log (p)}$
1925	Evaluate	( log of 9)/( log of 3)	$\frac{\log (9)}{\log (3)}$
1926	Evaluate	log base 0.5 of 128	$\log_{0.5} (128)$
1927	Evaluate	log base 0.5 of 64	$\log_{0.5} (64)$
1928	Evaluate	log base 5 of fifth root of 125	$\log_{5} (\sqrt[5]{125})$
1929	Evaluate	log base 5 of fifth root of 25	$\log_{5} (\sqrt[5]{25})$
1930	Evaluate	log base 5 of square root of 8	$\log_{5} (\sqrt{8})$
1931	Evaluate	log base 5 of 33	$\log_{5} (33)$
1932	Evaluate	log base 4 of 97	$\log_{4} (97)$
1933	Evaluate	log base 49 of 343	$\log_{49} (343)$
1934	Evaluate	log base 4 of 134	$\log_{4} (134)$
1935	Evaluate	log base 4 of seventh root of 4	$\log_{4} (\sqrt[7]{4})$
1936	Evaluate	log base 3.2 of 1	$\log_{3.2} (1)$
1937	Evaluate	log base 3 of 3^71	$\log_{3} (3^{71})$
1938	Evaluate	log base 3 of log base 2 of 8	$\log_{3} (\log_{2} (8))$
1939	Evaluate	log base 3 of 21.8	$\log_{3} (21.8)$
1940	Evaluate	log base 3 of 6561	$\log_{3} (6561)$
1941	Write in Exponential Form	5 = log base 3 of x^2+18	$5 = \log_{3} (x^{2} + 18)$
1942	Write in Exponential Form	natural log of square root of x+7=2	$\ln (\sqrt{x + 7}) = 2$
1943	Write in Exponential Form	log of x+14- log of x = log of x+6	$\log (x + 14) - \log (x) = \log (x + 6)$
1944	Write in Exponential Form	log of 5x=3	$\log (5) x = 3$
1945	Write in Exponential Form	log of 3 square root of x^2+21x=2/3	$\log (3 \sqrt{x^{2} + 21 x}) = \frac{2}{3}$
1946	Write in Exponential Form	log of 4x- log of 12+ square root of x=2	$\log (4 x) - \log (12 + \sqrt{x}) = 2$
1947	Write in Exponential Form	log of x-4=5	$\log (x - 4) = 5$
1948	Write in Exponential Form	log base x of y=2	$\log_{x} (y) = 2$
1949	Convert to Logarithmic Form	10^8=100000000	$10^{8} = 100000000$
1950	Convert to Logarithmic Form	10^a=5	$10^{a} = 5$
1951	Convert to Logarithmic Form	10^x=100	$10^{x} = 100$
1952	Convert to Logarithmic Form	10^x=25	$10^{x} = 25$
1953	Convert to Logarithmic Form	(4/3)^x=(64/27)	${(\frac{4}{3})}^{x} = (\frac{64}{27})$
1954	Convert to Logarithmic Form	3^x=4.6	$3^{x} = 4.6$
1955	Write in Exponential Form	natural log of x=5.9	$\ln (x) = 5.9$
1956	Write in Exponential Form	4+8 natural log of x=8	$4 + 8 \ln (x) = 8$
1957	Write in Exponential Form	natural log of 17=x	$\ln (17) = x$
1958	Convert to Logarithmic Form	6^-4=1/1296	$6^{- 4} = \frac{1}{1296}$
1959	Convert to Logarithmic Form	6^(2x)=25	$6^{2 x} = 25$
1960	Convert to Logarithmic Form	e^(2x)=8	$e^{2 x} = 8$
1961	Convert to Logarithmic Form	e^-5=p	$e^{- 5} = p$
1962	Convert to Logarithmic Form	500e^(0.6x)=850	$500 e^{0.6 x} = 850$
1963	Convert to Logarithmic Form	e^x=23	$e^{x} = 23$
1964	Convert to Logarithmic Form	e^(x+2)=0.2	$e^{x + 2} = 0.2$
1965	Convert to Logarithmic Form	u^-14=V	$u^{- 14} = V$
1966	Expand the Logarithmic Expression	log base 4 of square root of 5x	$\log_{4} (\sqrt{5 x})$
1967	Expand the Logarithmic Expression	natural log of (a^2b^3)/( square root of c)	$\ln (\frac{a^{2} b^{3}}{\sqrt{c}})$
1968	Expand the Logarithmic Expression	-4 log base 6 of 2x	$- 4 \log_{6} (2 x)$
1969	Expand the Logarithmic Expression	natural log of (e^3)/5	$\ln (\frac{e^{3}}{5})$
1970	Expand the Logarithmic Expression	natural log of (x^4 square root of y)/(z^5)	$\ln (\frac{x^{4} \sqrt{y}}{z^{5}})$
1971	Expand the Logarithmic Expression	log base b of x^7y	$\log_{b} (x^{7} y)$
1972	Expand the Logarithmic Expression	log base p of 78	$\log_{p} (78)$
1973	Expand the Logarithmic Expression	log base a of 4x^3y	$\log_{a} (4 x^{3} y)$
1974	Expand the Logarithmic Expression	log base 8 of 9x	$\log_{8} (9 x)$
1975	Expand the Logarithmic Expression	log of (x^2y)/(z^3)	$\log (\frac{x^{2} y}{z^{3}})$
1976	Expand the Logarithmic Expression	log of ( cube root of xz^2)/( square root of y)	$\log (\frac{\sqrt[3]{x z^{2}}}{\sqrt{y}})$
1977	Expand the Logarithmic Expression	log of (6x^5y^3)/(7z^2)	$\log (\frac{6 x^{5} y^{3}}{7 z^{2}})$
1978	Expand the Logarithmic Expression	log of 3^25	$\log (3^{25})$
1979	Expand the Logarithmic Expression	log of fourth root of x/y	$\log (\sqrt[4]{\frac{x}{y}})$
1980	Expand the Logarithmic Expression	log of fifth root of x/y	$\log (\sqrt[5]{\frac{x}{y}})$
1981	Expand the Logarithmic Expression	log of x^2y^3	$\log (x^{2} y^{3})$
1982	Expand the Logarithmic Expression	natural log of x^2 square root of y/z	$\ln (x^{2}) \sqrt{\frac{y}{z}}$
1983	Expand the Logarithmic Expression	natural log of x^3y^2	$\ln (x^{3} y^{2})$
1984	Expand the Logarithmic Expression	natural log of x/( square root of x^2+1)	$\ln (\frac{x}{\sqrt{x^{2} + 1}})$
1985	Expand the Logarithmic Expression	natural log of e^(2/5)x^7y^(3/2)	$\ln (e^{\frac{2}{5}} x^{7} y^{\frac{3}{2}})$
1986	Expand the Logarithmic Expression	natural log of 12 root of e	$\ln (\sqrt[12]{e})$
1987	Expand the Logarithmic Expression	log of log of 100000^(20x)	$\log (\log (100000^{20 x}))$
1988	Expand the Logarithmic Expression	log of (xy)/z	$\log (\frac{x y}{z})$
1989	Expand the Logarithmic Expression	log of zy^7	$\log (z y^{7})$
1990	Expand the Logarithmic Expression	log of 100x^3y^5	$\log (100 x^{3} y^{5})$
1991	Write in Exponential Form	e^(3 natural log of x)=250	$e^{3 \ln (x)} = 250$
1992	Write in Exponential Form	log base 3 of square root of x-2=2	$\log_{3} (\sqrt{x - 2}) = 2$
1993	Write in Exponential Form	log base 3 of 3x-2=2	$\log_{3} (3 x - 2) = 2$
1994	Write in Exponential Form	log base 3 of x+4=-3	$\log_{3} (x + 4) = - 3$
1995	Write in Exponential Form	log base 3 of x+5=2- log base 3 of x-3	$\log_{3} (x + 5) = 2 - \log_{3} (x - 3)$
1996	Write in Exponential Form	log base 5 of x+4=2	$\log_{5} (x + 4) = 2$
1997	Write in Exponential Form	11 natural log of 2x=7	$11 \ln (2 x) = 7$
1998	Write in Exponential Form	2 natural log of x-1 = natural log of 4x	$2 \ln (x - 1) = \ln (4 x)$
1999	Expand the Logarithmic Expression	log base 8 of (xy)^10	$\log_{8} ({(x y)}^{10})$
2000	Expand the Logarithmic Expression	log base 2 of (a^2 square root of b)^4	$\log_{2} ({(a^{2} \sqrt{b})}^{4})$