Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
34201	Write in Exponential Form	500( natural log of 22^t)+2^t=1000	$500 \cdot (\ln (2) \cdot 2^{t}) + 2^{t} = 1000$
34202	Write in Exponential Form	54 , 0 natural log of 6x+8=215 , 0	$54$ , $0 \ln (6 x + 8) = 215$ , $0$
34203	Write in Exponential Form	5 natural log of 4x=20	$5 \ln (4 x) = 20$
34204	Write in Exponential Form	5 natural log of 4x=8	$5 \ln (4 x) = 8$
34205	Write in Exponential Form	5=11- natural log of 19x+8	$5 = 11 - \ln (19 x + 8)$
34206	Solve for x	square root of 2 square root of 22x+5 = square root of 5x+4	$\sqrt{2 \sqrt{22 x + 5}} = \sqrt{5 x + 4}$
34207	Write in Exponential Form	natural log of square root of x-1=3	$\ln (\sqrt{x} - 1) = 3$
34208	Write in Exponential Form	natural log of n^2+12 = natural log of -9n-2	$\ln (n^{2} + 12) = \ln (- 9 n - 2)$
34209	Write in Exponential Form	natural log of P/100=-h/7	$\ln (\frac{P}{100}) = - \frac{h}{7}$
34210	Write in Exponential Form	natural log of (theta-15)/200=-0.15t	$\ln (\frac{θ - 15}{200}) = - 0.15 t$
34211	Write in Exponential Form	6 log base 9 of x=24	$6 \log_{9} (x) = 24$
34212	Write in Exponential Form	6+10 natural log of x=4	$6 + 10 \ln (x) = 4$
34213	Write in Exponential Form	natural log of e^x=11	$\ln (e^{x}) = 11$
34214	Write in Exponential Form	natural log of e^x=14.6	$\ln (e^{x}) = 14.6$
34215	Write in Exponential Form	natural log of e^x=15.5	$\ln (e^{x}) = 15.5$
34216	Write in Exponential Form	natural log of e^x=16	$\ln (e^{x}) = 16$
34217	Write in Exponential Form	natural log of e^x=18.4	$\ln (e^{x}) = 18.4$
34218	Write in Exponential Form	6.05=0.65 log of 0.39e	$6.05 = 0.65 \log (0.39 e)$
34219	Write in Exponential Form	6.4 = log of a/5+4	$6.4 = \log (\frac{a}{5}) + 4$
34220	Write in Exponential Form	6.6 = log of x/4.8	$6.6 = \log (\frac{x}{4.8})$
34221	Write in Exponential Form	6.6=- log of x	$6.6 = - \log (x)$
34222	Write in Exponential Form	6 log base 2 of x=- log base 2 of 64	$6 \log_{2} (x) = - \log_{2} (64)$
34223	Write in Exponential Form	-6 log base 3 of 2x-15=-24	$- 6 \log_{3} (2 x - 15) = - 24$
34224	Write in Exponential Form	5 natural log of x=-15	$5 \ln (x) = - 15$
34225	Write in Exponential Form	5 natural log of x=-20	$5 \ln (x) = - 20$
34226	Write in Exponential Form	natural log of 1.14 = natural log of e^(10^r)	$\ln (1.14) = \ln (e^{10^{r}})$
34227	Write in Exponential Form	natural log of 1.2t = natural log of 50	$\ln (1.2) t = \ln (50)$
34228	Write in Exponential Form	natural log of 10x-1=5	$\ln (10 x - 1) = 5$
34229	Write in Exponential Form	natural log of 12.8=0.3387x natural log of 1.8208	$\ln (12.8) = 0.3387 x \ln (1.8208)$
34230	Write in Exponential Form	natural log of 12-9x-2 natural log of x = natural log of 3	$\ln (12 - 9 x) - 2 \ln (x) = \ln (3)$
34231	Write in Exponential Form	natural log of 12y=2.303	$\ln (12 y) = 2.303$
34232	Write in Exponential Form	natural log of 1-4x = natural log of 2x-7	$\ln (1 - 4 x) = \ln (2 x - 7)$
34233	Write in Exponential Form	natural log of 16=-0.00121x	$\ln (16) = - 0.00121 x$
34234	Write in Exponential Form	natural log of 2=0.015	$\ln (2) = 0.015$
34235	Write in Exponential Form	natural log of 2=0.015t	$\ln (2) = 0.015 t$
34236	Write in Exponential Form	natural log of 2=0.05x	$\ln (2) = 0.05 x$
34237	Write in Exponential Form	natural log of 2=(1+0.19/4)^(4t)	$\ln (2) = {(1 + \frac{0.19}{4})}^{4 t}$
34238	Write in Exponential Form	natural log of x^2=5	$\ln (x^{2}) = 5$
34239	Write in Exponential Form	natural log of x^2-3x = natural log of 28	$\ln (x^{2} - 3 x) = \ln (28)$
34240	Write in Exponential Form	natural log of x^2-4x-18=9 natural log of e	$\ln (x^{2} - 4 x - 18) = 9 \ln (e)$
34241	Write in Exponential Form	natural log of square root of x-3=5	$\ln (\sqrt{x - 3}) = 5$
34242	Write in Exponential Form	natural log of square root of x-9=2	$\ln (\sqrt{x - 9}) = 2$
34243	Write in Exponential Form	natural log of square root of x-9=4	$\ln (\sqrt{x - 9}) = 4$
34244	Write in Exponential Form	natural log of x^2=16	$\ln (x^{2}) = 16$
34245	Write in Exponential Form	t=-1/0.0277* natural log of 1/3	$t = - \frac{1}{0.0277} \cdot \ln (\frac{1}{3})$
34246	Write in Exponential Form	t=( natural log of 112/119.2)/0.008	$t = \frac{\ln (\frac{112}{119.2})}{0.008}$
34247	Write in Exponential Form	t=( natural log of 310/284)/( natural log of 1.008)+1995	$t = \frac{\ln (\frac{310}{284})}{\ln (1.008)} + 1995$
34248	Write in Exponential Form	t=( natural log of 4/5.1)/0.035	$t = \frac{\ln (\frac{4}{5.1})}{0.035}$
34249	Write in Exponential Form	t=( natural log of 58000/48000)/(2( natural log of 1+0.05/2))	$t = \frac{\ln (\frac{58000}{48000})}{2 (\ln (1 + \frac{0.05}{2}))}$
34250	Write in Exponential Form	t=( natural log of 690/686.2)/0.001	$t = \frac{\ln (\frac{690}{686.2})}{0.001}$
34251	Write in Exponential Form	t=( natural log of 1)/0.048	$t = \frac{\ln (1)}{0.048}$
34252	Write in Exponential Form	t=( natural log of 2)/0.04	$t = \frac{\ln (2)}{0.04}$
34253	Write in Exponential Form	t=( natural log of 2)/0.085	$t = \frac{\ln (2)}{0.085}$
34254	Write in Exponential Form	t=( natural log of 2)/(24 natural log of 1+0.095/24)	$t = \frac{\ln (2)}{24 \ln (1 + \frac{0.095}{24})}$
34255	Write in Exponential Form	t=( natural log of 2)/(365 natural log of 1+0.065/365)	$t = \frac{\ln (2)}{365 \ln (1 + \frac{0.065}{365})}$
34256	Write in Exponential Form	t=( natural log of 2)/(365 natural log of 1+0.115/365)	$t = \frac{\ln (2)}{365 \ln (1 + \frac{0.115}{365})}$
34257	Write in Exponential Form	t=( natural log of 2)/(366 natural log of 1+0.085/366)	$t = \frac{\ln (2)}{366 \ln (1 + \frac{0.085}{366})}$
34258	Write in Exponential Form	t=( natural log of 2)/( natural log of 0.115)	$t = \frac{\ln (2)}{\ln (0.115)}$
34259	Write in Exponential Form	t=( natural log of 3)/0.062	$t = \frac{\ln (3)}{0.062}$
34260	Write in Exponential Form	t=( natural log of 3)/(12 natural log of 1+0.2/12)	$t = \frac{\ln (3)}{12 \ln (1 + \frac{0.2}{12})}$
34261	Write in Exponential Form	t=( natural log of 3)/(4 natural log of 1+0.07/4)	$t = \frac{\ln (3)}{4 \ln (1 + \frac{0.07}{4})}$
34262	Write in Exponential Form	t=( natural log of A- natural log of B)/r	$t = \frac{\ln (A) - \ln (B)}{r}$
34263	Write in Exponential Form	t=( natural log of m)/(n natural log of 1+r/n)	$t = \frac{\ln (m)}{n \ln (1 + \frac{r}{n})}$
34264	Write in Exponential Form	t=( log of 1/10)/( log of 1/4)	$t = \frac{\log (\frac{1}{10})}{\log (\frac{1}{4})}$
34265	Write in Exponential Form	t=( log of 0.2)/-0.0001238	$t = \frac{\log (0.2)}{- 0.0001238}$
34266	Write in Exponential Form	t=( log of 2)/( log of 1.05)	$t = \frac{\log (2)}{\log (1.05)}$
34267	Write in Exponential Form	t=50 log of 18000/(18000-4000)	$t = 50 \log (\frac{18000}{18000 - 4000})$
34268	Write in Exponential Form	theta=53.4 natural log of 2	$θ = 53.4 \ln (2)$
34269	Write in Exponential Form	t=56.1 natural log of 2	$t = 56.1 \ln (2)$
34270	Write in Exponential Form	t = log of 58344/4800=2(t) log of 1.025	$t = \log (\frac{58344}{4800}) = 2 (t) \log (1.025)$
34271	Write in Exponential Form	W=k natural log of b/a	$W = k \ln (\frac{b}{a})$
34272	Write in Exponential Form	x=( log of 2)/( log of 1.09)	$x = \frac{\log (2)}{\log (1.09)}$
34273	Write in Exponential Form	x* natural log of 3.3+x* natural log of 0.6=0	$x \cdot \ln (3.3) + x \cdot \ln (0.6) = 0$
34274	Write in Exponential Form	x+5 = log base 4 of 256	$x + 5 = \log_{4} (256)$
34275	Write in Exponential Form	x=1/0.01* natural log of 40/36	$x = \frac{1}{0.01} \cdot \ln (\frac{40}{36})$
34276	Write in Exponential Form	x=1/0.013* natural log of 43/38	$x = \frac{1}{0.013} \cdot \ln (\frac{43}{38})$
34277	Write in Exponential Form	x=2^( log of (2)^10)	$x = 2^{\log ({(2)}^{10})}$
34278	Write in Exponential Form	x=2^( log base 2 of 9)	$x = 2^{\log_{2} (9)}$
34279	Write in Exponential Form	x=3^( log of 3*8)	$x = 3^{\log (3) \cdot 8}$
34280	Write in Exponential Form	x=4/5* log base 6 of square root of 108-1 log base 6 of 2/( square root of 3)+2 log base 6 of 9+ log base 6 of 64	$x = \frac{4}{5} \cdot \log_{6} (\sqrt{108}) - 1 \log_{6} (\frac{2}{\sqrt{3}}) + 2 \log_{6} (9) + \log_{6} (64)$
34281	Write in Exponential Form	x=5^( log base 5 of 27)	$x = 5^{\log_{5} (27)}$
34282	Write in Exponential Form	x=6/7*( log base 6 of square root of 108-1 log base 6 of 2/( square root of 3)+3 log base 6 of 9+ log base 6 of 256)	$x = \frac{6}{7} \cdot (\log_{6} (\sqrt{108}) - 1 \log_{6} (\frac{2}{\sqrt{3}}) + 3 \log_{6} (9) + \log_{6} (256))$
34283	Write in Exponential Form	x=9^( log base 9 of 21)	$x = 9^{\log_{9} (21)}$
34284	Write in Exponential Form	x=( natural log of 7/5)/( natural log of 7+6)	$x = \frac{\ln (\frac{7}{5})}{\ln (7) + 6}$
34285	Write in Exponential Form	x=( natural log of 0.2)/-0.023	$x = \frac{\ln (0.2)}{- 0.023}$
34286	Write in Exponential Form	x=( natural log of 18)/( natural log of 3)	$x = \frac{\ln (18)}{\ln (3)}$
34287	Write in Exponential Form	x=( natural log of 5)/(6 natural log of 5)	$x = \frac{\ln (5)}{6 \ln (5)}$
34288	Write in Exponential Form	x=( natural log of 7)/( natural log of 3)	$x = \frac{\ln (7)}{\ln (3)}$
34289	Write in Exponential Form	x=( natural log of 9-8)/5	$x = \frac{\ln (9) - 8}{5}$
34290	Write in Exponential Form	x=( log of 12)/( log of 6)	$x = \frac{\log (12)}{\log (6)}$
34291	Write in Exponential Form	x=( log of 22)/( log of 7)	$x = \frac{\log (22)}{\log (7)}$
34292	Write in Exponential Form	x = log base 2 of 5=( natural log of 5)/( natural log of 2)	$x = \log_{2} (5) = \frac{\ln (5)}{\ln (2)}$
34293	Write in Exponential Form	log of X+132- log of X+2 = log of X	$\log (X + 132) - \log (X + 2) = \log (X)$
34294	Write in Exponential Form	log of x+5 = log of 4x-4	$\log (x + 5) = \log (4 x - 4)$
34295	Solve for x	log base 9 of 7x+5 = log base 9 of 7x+2	$\log_{9} (7 x + 5) = \log_{9} (7 x + 2)$
34296	Write in Exponential Form	log of x+8 = log of 3x-3	$\log (x + 8) = \log (3 x - 3)$
34297	Write in Exponential Form	log of x+8 = log of x+ log of 8	$\log (x + 8) = \log (x) + \log (8)$
34298	Write in Exponential Form	log of x+9 = log of 10x- log of x-2	$\log (x + 9) = \log (10 x) - \log (x - 2)$
34299	Write in Exponential Form	log of x+9- log of 2 = log of 3x+4	$\log (x + 9) - \log (2) = \log (3 x + 4)$
34300	Write in Exponential Form	log of x- log of 3 = log of x+12- log of x-3	$\log (x) - \log (3) = \log (x + 12) - \log (x - 3)$