Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
116201	Expand the Logarithmic Expression	log of (x^6y)/z	$\log (\frac{x^{6} y}{z})$
116202	Expand the Logarithmic Expression	log of (z^2)/5	$\log (\frac{z^{2}}{5})$
116203	Expand the Logarithmic Expression	log of 21	$\log (21)$
116204	Expand the Logarithmic Expression	log of 3*27	$\log (3) \cdot 27$
116205	Expand the Logarithmic Expression	log of 3*(4x)	$\log (3) \cdot (4 x)$
116206	Expand the Logarithmic Expression	log of 6x	$\log (6 x)$
116207	Expand the Logarithmic Expression	log of 5x^3	$\log (5 x^{3})$
116208	Expand the Logarithmic Expression	log of 9x	$\log (9 x)$
116209	Expand the Logarithmic Expression	log of 8x	$\log (8 x)$
116210	Factor by Grouping	ab+2a+5b+10	$a b + 2 a + 5 b + 10$
116211	Expand the Logarithmic Expression	log of x-y	$\log (x - y)$
116212	Complete the Square	y^2-18y+	$y^{2} - 18 y +$
116213	Write in Exponential Form	log base 4 of x=1/2	$\log_{4} (x) = \frac{1}{2}$
116214	Convert to Regular Notation	1.3*10^-5	$1.3 \cdot 10^{- 5}$
116215	Write in Exponential Form	log base 5 of 64- log base 5 of 8/3+ log base 5 of 2 = log base 5 of 4p	$\log_{5} (64) - \log_{5} (\frac{8}{3}) + \log_{5} (2) = \log_{5} (4 p)$
116216	Convert to a Simplified Fraction	1.2%	$1.2 %$
116217	Write in Exponential Form	log base 8 of 64=x	$\log_{8} (64) = x$
116218	Write in Exponential Form	log base 81 of 27=x	$\log_{81} (27) = x$
116219	Convert to a Simplified Fraction	0.015	$0.015$
116220	Write in Exponential Form	log base x of 27=3	$\log_{x} (27) = 3$
116221	Convert to a Simplified Fraction	59%	$59 %$
116222	Write in Exponential Form	log base x of 1/9=-2	$\log_{x} (\frac{1}{9}) = - 2$
116223	Combine	6t+7-2+t	$6 t + 7 - 2 + t$
116224	Write in Exponential Form	log base 2 of 32=x	$\log_{2} (32) = x$
116225	Solve by Factoring	x^3+7x^2+4x-12=(x+6)	$x^{3} + 7 x^{2} + 4 x - 12 = (x + 6)$
116226	Write in Exponential Form	log of x=4	$\log (x) = 4$
116227	Write in Exponential Form	x = log base 3 of 15	$x = \log_{3} (15)$
116228	Convert to Logarithmic Form	e^x=25	$e^{x} = 25$
116229	Convert to Logarithmic Form	e^x=16	$e^{x} = 16$
116230	Convert to Logarithmic Form	e^x=13	$e^{x} = 13$
116231	Convert to Logarithmic Form	e^5=k	$e^{5} = k$
116232	Convert to Logarithmic Form	e^(5x)=6	$e^{5 x} = 6$
116233	Convert to Logarithmic Form	e^y=4	$e^{y} = 4$
116234	Find the Asymptotes	(x^2+2x-15)/(x-5)	$\frac{x^{2} + 2 x - 15}{x - 5}$
116235	Convert to Logarithmic Form	e^y=3	$e^{y} = 3$
116236	Find the Asymptotes	(-x^2-3x+3)/(x+1)	$\frac{- x^{2} - 3 x + 3}{x + 1}$
116237	Convert to Logarithmic Form	e^y=9	$e^{y} = 9$
116238	Find the Asymptotes	(x^2)/(x^2+x-90)	$\frac{x^{2}}{x^{2} + x - 90}$
116239	Convert to Logarithmic Form	q^t=x	$q^{t} = x$
116240	Convert to Logarithmic Form	x=4^y	$x = 4^{y}$
116241	Evaluate	log base 4 of (4)^2	$\log_{4} ({(4)}^{2})$
116242	Evaluate	log base 2 of (16)^3	$\log_{2} ({(16)}^{3})$
116243	Evaluate	log base 5 of (x/4)^2	$\log_{5} ({(\frac{x}{4})}^{2})$
116244	Evaluate	10^( log of 25)	$10^{\log (25)}$
116245	Evaluate	10^( log of 29)	$10^{\log (29)}$
116246	Evaluate	10^( log of 13)	$10^{\log (13)}$
116247	Evaluate	4^( log base 4 of 6)	$4^{\log_{4} (6)}$
116248	Evaluate	5^( log base 5 of 17)	$5^{\log_{5} (17)}$
116249	Solve by Completing the Square	2n^2-5n-4=6	$2 n^{2} - 5 n - 4 = 6$
116250	Evaluate	5^( log base 5 of 4)	$5^{\log_{5} (4)}$
116251	Solve by Completing the Square	6x=4x^2-1	$6 x = 4 x^{2} - 1$
116252	Evaluate	7^( log base 7 of 2)	$7^{\log_{7} (2)}$
116253	Evaluate	6^( log base 6 of 8)	$6^{\log_{6} (8)}$
116254	Solve by Completing the Square	4x^2+8x=10	$4 x^{2} + 8 x = 10$
116255	Evaluate	8^( log base 8 of 19)	$8^{\log_{8} (19)}$
116256	Evaluate	( natural log of 1/2)/3962	$\frac{\ln (\frac{1}{2})}{3962}$
116257	Evaluate	log of (6/5)^6	$\log ({(\frac{6}{5})}^{6})$
116258	Evaluate	( natural log of 2)/0.04	$\frac{\ln (2)}{0.04}$
116259	Evaluate	( natural log of 24+ natural log of 12)/( log of 24+ log of 12)	$\frac{\ln (24) + \ln (12)}{\log (24) + \log (12)}$
116260	Evaluate	( natural log of 4)/2	$\frac{\ln (4)}{2}$
116261	Convert to Logarithmic Form	(2/3)^-2=9/4	${(\frac{2}{3})}^{- 2} = \frac{9}{4}$
116262	Find the Asymptotes	f(x)=-1/(x^2-4)	$f (x) = - \frac{1}{x^{2} - 4}$
116263	Convert to Logarithmic Form	(1/4)^3=1/64	${(\frac{1}{4})}^{3} = \frac{1}{64}$
116264	Convert to Logarithmic Form	(1/4)^-3=64	${(\frac{1}{4})}^{- 3} = 64$
116265	Find the Asymptotes	f(x)=(x^2-4x+1)/(2x-3)	$f (x) = \frac{x^{2} - 4 x + 1}{2 x - 3}$
116266	Convert to Logarithmic Form	2^0=1	$2^{0} = 1$
116267	Convert to Logarithmic Form	2^x=128	$2^{x} = 128$
116268	Convert to Logarithmic Form	13^2=x	$13^{2} = x$
116269	Convert to Logarithmic Form	14^2=196	$14^{2} = 196$
116270	Convert to Logarithmic Form	125^(-2/3)=1/25	$125^{- \frac{2}{3}} = \frac{1}{25}$
116271	Convert to Logarithmic Form	121^(1/2)=11	$121^{\frac{1}{2}} = 11$
116272	Convert to Logarithmic Form	16^(3/4)=8	$16^{\frac{3}{4}} = 8$
116273	Find the Asymptotes	f(x)=(-x^2-3x+3)/(x+1)	$f (x) = \frac{- x^{2} - 3 x + 3}{x + 1}$
116274	Convert to Logarithmic Form	10^4=1000	$10^{4} = 1000$
116275	Convert to Logarithmic Form	10^x=1000	$10^{x} = 1000$
116276	Find the Axis of Symmetry	f(x)=2x^2+10x+14	$f (x) = 2 x^{2} + 10 x + 14$
116277	Find the LCM	g-1 , g^2+3g-4	$g - 1$ , $g^{2} + 3 g - 4$
116278	Convert to a Percentage	11/80	$\frac{11}{80}$
116279	Determine if Rational	0.692	$0.692$
116280	Solve Using the Quadratic Formula	x^2=12x-72	$x^{2} = 12 x - 72$
116281	Solve Using the Quadratic Formula	5x^2-4x-7=0	$5 x^{2} - 4 x - 7 = 0$
116282	Solve Using the Quadratic Formula	4x^2+10x-13=5x	$4 x^{2} + 10 x - 13 = 5 x$
116283	Determine if Odd, Even, or Neither	f(x)=1/(5x^3)	$f (x) = \frac{1}{5 x^{3}}$
116284	Determine if Odd, Even, or Neither	g(x)=5x^4-6x^3	$g (x) = 5 x^{4} - 6 x^{3}$
116285	Find the Domain and Range	y=x^14	$y = x^{14}$
116286	Find the Domain and Range	y=arctan(x)	$y = \arctan (x)$
116287	Find the Distance Between Two Points	(0,6) , (2,3)	$(0, 6) (2, 3)$
116288	Convert to Radical Form	81s^(2/3)	$81 s^{\frac{2}{3}}$
116289	Convert to Radical Form	x1/3	$x \frac{1}{3}$
116290	Convert to Radical Form	x1/5	$x \frac{1}{5}$
116291	Divide Using Long Polynomial Division	(8a^3-2a^2-2a+10)/(4a+3)	$\frac{8 a^{3} - 2 a^{2} - 2 a + 10}{4 a + 3}$
116292	Find Amplitude, Period, and Phase Shift	y=6cos(2x+pi/2)	$y = 6 \cos (2 x + \frac{π}{2})$
116293	Find the Slope and y-intercept	6x-3y=4	$6 x - 3 y = 4$
116294	Find the Slope and y-intercept	9x-3y=-6	$9 x - 3 y = - 6$
116295	Find the Slope and y-intercept	-8x-2y=-2	$- 8 x - 2 y = - 2$
116296	Find the Slope and y-intercept	y=8x+6	$y = 8 x + 6$
116297	Find the y-intercept	-3y=15	$- 3 y = 15$
116298	Find the y-intercept	-7y=35	$- 7 y = 35$
116299	Find the Inverse	h(x)=3/2(x-11)	$h (x) = \frac{3}{2} (x - 11)$
116300	Find the Inverse	f(x)=-6x^4-1	$f (x) = - 6 x^{4} - 1$