Question

Solve:
e^3x = 8

A. ln 5
B. 3 ln 8
C. ln 8/3
D. ln 3/8

Answer 1

@saifoo.khan Can you help?

Answer 2

\[3x = \ln 8\]

Answer 3

Can you solve now?

Answer 4

Then I divide by 3x?? Making the answer be C??

Answer 5

\[\frac{\ln8}{3}\]

Answer 6

Thanks! But what about: 1/e^x = 7

Answer 7

\[\frac{1}{e^x}=7\iff e^x=\frac{1}{7}\]in equivalent exponential form this means
\[x=\ln(\frac{1}{7})\]

Answer 8

or you can write
\[\frac{1}{e^x}=e^{-x}\] so that
\[-x=\ln(7)\] or
\[x=-\ln(7)\]

Answer 9

answers are the same becauese
\[\ln(\frac{1}{7})=\ln(7^{-1})=-\ln(7)\]

Answer 10

Thanks :)