Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
103201	Write in Exponential Form	log base 3 of x-1=2	$\log_{3} (x - 1) = 2$
103202	Write in Exponential Form	natural log of 9=y	$\ln (9) = y$
103203	Find f(g(x))	f(x)=4x^2 , g(x)=3x-4	$f (x) = 4 x^{2}$ , $g (x) = 3 x - 4$
103204	Find f(g(x))	f(x)=3x+5 g(x)=2x-9	$f (x) = 3 x + 5$ $g (x) = 2 x - 9$
103205	Find f(g(x))	f(x)=2x^2-4x-3 , g(x)=2x^2-16	$f (x) = 2 x^{2} - 4 x - 3$ , $g (x) = 2 x^{2} - 16$
103206	Solve for x	x^2-12x+59=0	$x^{2} - 12 x + 59 = 0$
103207	Convert to Logarithmic Form	8^y=300	$8^{y} = 300$
103208	Convert to Logarithmic Form	8^(5x)=4.4	$8^{5 x} = 4.4$
103209	Convert to Logarithmic Form	8^b=a	$8^{b} = a$
103210	Convert to Logarithmic Form	3^x=6	$3^{x} = 6$
103211	Find f(g(x))	f(x)=x^2+4 ; g(x)=3x-4	$f (x) = x^{2} + 4$ ; $g (x) = 3 x - 4$
103212	Convert to Logarithmic Form	3^x=8	$3^{x} = 8$
103213	Find f(g(x))	f(x)=3x-7 , g(x)=x-6	$f (x) = 3 x - 7$ , $g (x) = x - 6$
103214	Convert to Logarithmic Form	3^-1=1/3	$3^{- 1} = \frac{1}{3}$
103215	Convert to Logarithmic Form	32^(1/5)=2	$32^{\frac{1}{5}} = 2$
103216	Convert to Logarithmic Form	5^-1=1/5	$5^{- 1} = \frac{1}{5}$
103217	Convert to Logarithmic Form	4^x=25	$4^{x} = 25$
103218	Convert to Logarithmic Form	4^x=7	$4^{x} = 7$
103219	Find f(g(x))	f(x)=x^2-8 , g(x)=4x-4	$f (x) = x^{2} - 8$ , $g (x) = 4 x - 4$
103220	Convert to Logarithmic Form	11^2=121	$11^{2} = 121$
103221	Find f(g(x))	f(x)=17x^2-10x , g(x)=19x-10	$f (x) = 17 x^{2} - 10 x$ , $g (x) = 19 x - 10$
103222	Convert to Logarithmic Form	2.4^0=1	${2.4}^{0} = 1$
103223	Find f(g(x))	f(x)=8x+1 g(x) = square root of x	$f (x) = 8 x + 1$ $g (x) = \sqrt{x}$
103224	Convert to Logarithmic Form	16^2=256	$16^{2} = 256$
103225	Find f(g(x))	f(x)=5x-2 g(x)=4x^2-4	$f (x) = 5 x - 2$ $g (x) = 4 x^{2} - 4$
103226	Convert to Logarithmic Form	144^(1/2)=12	$144^{\frac{1}{2}} = 12$
103227	Convert to Logarithmic Form	13^6=4826809	$13^{6} = 4826809$
103228	Convert to Logarithmic Form	18^2=324	$18^{2} = 324$
103229	Find f(g(x))	f(x)=7x+3 , g(x) = square root of x	$f (x) = 7 x + 3$ , $g (x) = \sqrt{x}$
103230	Convert to Logarithmic Form	(1/3)^-4=81	${(\frac{1}{3})}^{- 4} = 81$
103231	Convert to Logarithmic Form	(2/3)^3=8/27	${(\frac{2}{3})}^{3} = \frac{8}{27}$
103232	Convert to Logarithmic Form	(1/7)^3=1/343	${(\frac{1}{7})}^{3} = \frac{1}{343}$
103233	Evaluate	( natural log of 7)/( natural log of 5)	$\frac{\ln (7)}{\ln (5)}$
103234	Evaluate	( natural log of 6+ natural log of 2)/( log of 6+ log of 2)	$\frac{\ln (6) + \ln (2)}{\log (6) + \log (2)}$
103235	Solve for x	16x=6x+100	$16 x = 6 x + 100$
103236	Find f(g(x))	f(x)=4x^2+5x+6 , g(x)=5x-3	$f (x) = 4 x^{2} + 5 x + 6$ , $g (x) = 5 x - 3$
103237	Evaluate	e^( natural log of 2x)	$e^{\ln (2 x)}$
103238	Evaluate	e^( natural log of 14)	$e^{\ln (14)}$
103239	Evaluate	e^( natural log of square root of 3)	$e^{\ln (\sqrt{3})}$
103240	Find f(g(x))	f(x)=4x , g(x)=x+5	$f (x) = 4 x$ , $g (x) = x + 5$
103241	Evaluate	e^( natural log of x^2)	$e^{\ln (x^{2})}$
103242	Find f(g(x))	f(x)=4x^2 , g(x)=x+1	$f (x) = 4 x^{2}$ , $g (x) = x + 1$
103243	Evaluate	e^( natural log of 11)	$e^{\ln (11)}$
103244	Evaluate	7^( log base 7 of 8)	$7^{\log_{7} (8)}$
103245	Evaluate	4^( log base 4 of 7)	$4^{\log_{4} (7)}$
103246	Find f(g(x))	f(x)=4 , g(x)=0.25	$f (x) = 4$ , $g (x) = 0.25$
103247	Evaluate	10^( log of 15)	$10^{\log (15)}$
103248	Evaluate	10^( log of 33)	$10^{\log (33)}$
103249	Evaluate	3^( log base 3 of 6)	$3^{\log_{3} (6)}$
103250	Evaluate	3^( log base 3 of 2)	$3^{\log_{3} (2)}$
103251	Find f(g(x))	f(x)=3x-9 g(x)=(x+3)/9	$f (x) = 3 x - 9$ $g (x) = \frac{x + 3}{9}$
103252	Find f(g(x))	f(x)=x^2+2x+1 ; g(x)=10x-14	$f (x) = x^{2} + 2 x + 1$ ; $g (x) = 10 x - 14$
103253	Evaluate	( log of square root of 11)/( log of 6)	$\frac{\log (\sqrt{11})}{\log (6)}$
103254	Convert to Logarithmic Form	70.81=e^a	$70.81 = e^{a}$
103255	Find f(g(x))	f(x)=56 , g(x)=0.14	$f (x) = 56$ , $g (x) = 0.14$
103256	Convert to Logarithmic Form	87.18=e^a	$87.18 = e^{a}$
103257	Convert to Logarithmic Form	81=(1/9)^-2	$81 = {(\frac{1}{9})}^{- 2}$
103258	Convert to Logarithmic Form	e^y=7	$e^{y} = 7$
103259	Find f(g(x))	f(x)=3/2x-6 , g(x)=(2x-12)/3	$f (x) = \frac{3}{2} x - 6$ , $g (x) = \frac{2 x - 12}{3}$
103260	Convert to Logarithmic Form	m^n=p	$m^{n} = p$
103261	Convert to Logarithmic Form	0.0001=10^-4	$0.0001 = 10^{- 4}$
103262	Convert to Logarithmic Form	0.01=10^-2	$0.01 = 10^{- 2}$
103263	Convert to Logarithmic Form	e^5=y	$e^{5} = y$
103264	Find f(g(x))	f(x)=x-3 , g(x)=1/x	$f (x) = x - 3$ , $g (x) = \frac{1}{x}$
103265	Convert to Logarithmic Form	e^9=x	$e^{9} = x$
103266	Convert to Logarithmic Form	e^x=24	$e^{x} = 24$
103267	Find f(g(x))	f(x)=(x-8)/5 , g(x)=5x+8	$f (x) = \frac{x - 8}{5}$ , $g (x) = 5 x + 8$
103268	Convert to Logarithmic Form	e^3=t	$e^{3} = t$
103269	Find f(g(x))	f(x)=5x^2+5 ; g(x)=4x-2	$f (x) = 5 x^{2} + 5$ ; $g (x) = 4 x - 2$
103270	Write in Exponential Form	log of x=-6	$\log (x) = - 6$
103271	Write in Exponential Form	log of x=-5	$\log (x) = - 5$
103272	Write in Exponential Form	log base 8 of x=1/3	$\log_{8} (x) = \frac{1}{3}$
103273	Write in Exponential Form	log base 6 of x=3	$\log_{6} (x) = 3$
103274	Find f(g(x))	f(x)=2x-1 , g(x)=3x+2 , h(x)=x^2	$f (x) = 2 x - 1$ , $g (x) = 3 x + 2$ , $h (x) = x^{2}$
103275	Write in Exponential Form	log base 2 of x-1=3	$\log_{2} (x - 1) = 3$
103276	Write in Exponential Form	log base 4 of 16=x	$\log_{4} (16) = x$
103277	Find f(g(x))	f(x)=9x , g(x)=x/9	$f (x) = 9 x$ , $g (x) = \frac{x}{9}$
103278	Expand the Logarithmic Expression	log of x+3	$\log (x + 3)$
103279	Expand the Logarithmic Expression	log of log of 10000^(250x)	$\log (\log (10000^{250 x}))$
103280	Expand the Logarithmic Expression	log of log of 10000^(25x)	$\log (\log (10000^{25 x}))$
103281	Find f(g(x))	f(x)=4-x , g(x)=5-x^2	$f (x) = 4 - x$ , $g (x) = 5 - x^{2}$
103282	Expand the Logarithmic Expression	log of log of 100^(500x)	$\log (\log (100^{500 x}))$
103283	Expand the Logarithmic Expression	log of 45	$\log (45)$
103284	Expand the Logarithmic Expression	log of 4*64	$\log (4) \cdot 64$
103285	Find f(g(x))	f(x)=3x-2 , g(x)=(x+2)/3	$f (x) = 3 x - 2$ , $g (x) = \frac{x + 2}{3}$
103286	Expand the Logarithmic Expression	log of 4s^4t	$\log (4 s^{4} t)$
103287	Find f(g(x))	f(x)=4x^2-5 , g(x)=4/x	$f (x) = 4 x^{2} - 5$ , $g (x) = \frac{4}{x}$
103288	Expand the Logarithmic Expression	log of 58	$\log (58)$
103289	Expand the Logarithmic Expression	log of 5*125	$\log (5) \cdot 125$
103290	Expand the Logarithmic Expression	log of 8 fourth root of 3a^5	$\log (8 \sqrt[4]{3 a^{5}})$
103291	Expand the Logarithmic Expression	log of 6x^3yz	$\log (6 x^{3} y z)$
103292	Expand the Logarithmic Expression	log of 28.9	$\log (28.9)$
103293	Find f(g(x))	f(x)=-7x-8 , g(x)=-2x+9	$f (x) = - 7 x - 8$ , $g (x) = - 2 x + 9$
103294	Expand the Logarithmic Expression	log of 24	$\log (24)$
103295	Expand the Logarithmic Expression	log of (x^4)/y	$\log (\frac{x^{4}}{y})$
103296	Expand the Logarithmic Expression	log of (x^2)/y	$\log (\frac{x^{2}}{y})$
103297	Expand the Logarithmic Expression	log of 1/10000	$\log (\frac{1}{10000})$
103298	Expand the Logarithmic Expression	log of 10^4	$\log (10^{4})$
103299	Expand the Logarithmic Expression	log of (5a)/(4b^2)	$\log (\frac{5 a}{4 b^{2}})$
103300	Find f(g(x))	f(x)=1/(x^2-7) g(x) = square root of x+7	$f (x) = \frac{1}{x^{2} - 7}$ $g (x) = \sqrt{x + 7}$