Question

help
2e^x - 5 =1

Answer 1

Have you learned about natural logs yet?

Answer 2

not so much

Answer 3

the rules for natural logs are the same as logs. Natural logs are just always a log to base e:
\[\huge \log_e(x)\]

Answer 4

so with your problem, the first thing i would do is add 5 to both sides. The reason for this is because there are no log rules such that:
\[\huge \ln(2*e^x-5)\] can be simplified.

Answer 5

These are really important to know and to know how to manipulate them.
http://www.purplemath.com/modules/logrules.htm
http://www.rapidtables.com/math/algebra/Ln.htm

Answer 6

ok

Answer 7

in the second link, the first three rules have some examples too, which is really awesome.
we also see that \[\huge \ln(e^x)=x\] which will be really really handy here.

Do you see why?

Answer 8

so i left with 2e^x=6 right

Answer 9

so far so good. Now knowing what i said about ln = natural log, what could you do to help you solve for x?

Answer 10

i could take away the 2

Answer 11

You can't take it away but you can....Divide by it on both sides. :D

Answer 12

ok so im left with e^x=3

Answer 13

So far so good. Now just use the rules for natural logs and you'll be done.

Answer 14

??

Answer 15

are u there