Question

ln(e^14x)=7

Answer 1

e^(14x) = e^7
14x = 7
x = 1/2

Answer 2

so is the answer actually come out to 6.9 seven iss rounded

Answer 3

\[\ln(e^{14x})=7 \text{ or } \ln(e^{14}x)=7 ?\]

Answer 4

@myininaya the first one

Answer 5

Did you this property of log:
\[\log_b(a^r)=r \log_b(a) ?\]

Answer 6

did you know*

Answer 7

\[14x \ln(e)=7\]

I used that property on the left hand side of the equation.

Answer 8

Do you know what ln(e)=?

Answer 9

@myininaya isnt ln((e)=1?

Answer 10

yep

Answer 11

so we have have
14x (1)=7
14x =7
this is what @jackellyn got above :)

Answer 12

And then she divided both sides by 14

Answer 13

duh! ok i was dividing by 7 not 14 derp...

Answer 14

so you should get
\[x=\frac{7}{14} \text{ after dividing both sides by 14}\]

You can reduce that