Question

150 = 50e^ 7x (natural logs)

solve for x

Answer 1

\[150 = 50e^ {7x}\]\[\frac{150}{50} = e^ {7x}\]\[\ln\frac{150}{50} = \ln e^ {7x}\]\[\ln\frac{150}{50} = 7x\ln e\]\[\ln\frac{150}{50} = 7x\]\[\frac 17\ln\frac{150}{50} = x\]

Answer 2

so u can cancel the ln e, thanks big help

Answer 3

i suggest simplifying 150/50 though

Answer 4

it's cheaper with latex

Answer 5

yeah \(\ln e=1\) because

\[\ln x=\log_e x\]
and
\[e^1=e\]

Answer 6

thats what i did :) thanks to both of you

Answer 7

i didnt do anything other than make a random pun. why thank me lol