Question

Solve
2^x-1=3^2x

Answer 1

\[2^{x-1}=3^{2x}\]

Answer 2

im pretty sure you have to make the equation look like this : 2x^2 - 3x^2 = 1(or -1 not sure)

Then you wold solve it normal do u kno how to do tht? :)

Answer 3

No, you have to use logs to solve it, which I can't do.

Answer 4

Ohhhh alright my bad soweee :)

Answer 5

take the natural log, or log base anything, of each side
you get:

(x-1)ln(2) = 2xln(3)

Answer 6

Then where do I go from there?

Answer 7

get all the x's on one side.

xln(2) - ln(2) = 2xln(3)
xln(2) - 2xln(3) = ln(2)
x(ln(2) - ln(3^2) = ln(2)

then use another property of logs: ln(a) - ln(b) = ln(a/b)

x(ln(2/9) = ln(2)
x = ln(2)/ln(2/9)