Question

solve for x: 8^x=5^(2x-1)

Answer 1

1. take natural log of both sides

Answer 2

How would I take the natural log of 5^(2x-1)

Answer 3

ln(5^(2x-1)) = (2x-1)ln(5)

Answer 4

using law of logarithms

Answer 5

kk

Answer 6

x(ln(8))=2x-1(ln(5))

Answer 7

right?

Answer 8

Good job

Answer 9

Next, I would divide by 2x-1?

Answer 10

And ln(8) on both sides?

Answer 11

either way you do it, I am sure you will get the right answer.

Answer 12

I got ln(5/8)=x/2x-1

Answer 13

x/(2x-1)

Answer 14

What would I do from there?

Answer 15

try solving for x using proportion rules

Answer 16

try it this way will be easier:
\[x(\frac{ \ln8 }{ \ln5 })-2x+1=0\]

Answer 17

move everything to one side