Question

Solve for x
37=5(1.02)^x

Answer 1

Okay, do you understand how to use logarithms?

Answer 2

yes

Answer 3

okay, firstly you want to simplify, so divide 5 from both sides

Answer 4

ok

Answer 5

\[\frac{37}{5}=1.02^{x}\]

Answer 6

yup did that and I got 7.4=1.02^x

Answer 7

Now take the natural logarithm of both sides, so that you have \[\ln(\frac{37}{5})=x * \ln(1.02)\]

Answer 8

ok

Answer 9

so then x=1.982

Answer 10

Is that correct

Answer 11

no

Answer 12

You want to do \[x=\frac{\ln(\frac{37}{5})}{\ln(1.02)}\]

Answer 13

yes

Answer 14

Did you do it?

Answer 15

yes I got 101.071 is that correct

Answer 16

try it out

Answer 17

yup thats it thank you

Answer 18

No problem. :)