Question

Exponential Functions. Need help finding x. Equation posted below.

Answer 1

\[25(2)^x=325\]

Answer 2

I've reduced that to \[2^x=13\]

and that to \[\sqrt[x]{13}=2\]

Answer 3

This needs to be a real number answer rounded to two decimal places. Solve for x.

Answer 4

take logs of both sides
ln 2^x = ln 13
then use on of the laws of logs
x ln 2 = ln 13

Answer 5

@hhopke If you will perform the operation (last line) in the post above, you will get what you need.

Answer 6

Or to make it simple, x = ln13/ln2