Question

e^0.3=2
Someone give me step by step please
I get there are rules I don't know how to use them just talk me through it

Answer 1

There is something missing in the problem. Is there an x or some other variable somewhere?

Answer 2

oh yes im sorry e^0.3x=2
x is part of the exponent

Answer 3

e^(0.3x) = 2
To bring the x down from the exponent, you take natural logarithm on both sides.
ln(e^(0.3x)) = ln(2)
(0.3x) * ln(e) = ln(2)
0.3x * 1 = ln(2)
x = ln(2) / 0.3 = ?

Answer 4

\[\Large \ln(A ^{n}) = n * \ln(A)\]

Answer 5

2.31?

Answer 6

yes.

Answer 7

awesome sauce!

Answer 8

alright. Do you have any questions about any of the steps or is it pretty clear?

Answer 9

take me through one more problem? maybe that will help?

Answer 10

ok. go ahead and post the problem.

Answer 11

3=log(2x-1) I got x+500.5 I'm
just am not sure if this is right

Answer 12

I mean x=500.5

Answer 13

3=log(2x-1) or log(2x-1) = 3
means: 2x - 1 = 10^3 = 1000
2x = 1001
x = 500.5
yes, you have the correct answer.

Answer 14

thank you thank you

Answer 15

you are welcome. :)