Question

Solve for x:

5^x * 2^(x-1) = 100

Answer 1

if you take the common log you can start with
\[x\log(5)+(x-1)\log(2)=2\] or if you take the natural log start with
\[x\ln(5)+(x-1)\ln(2)=\ln(100)\] then solve for \(x\)

Answer 2

I don't know how to solve for x

Answer 3

@satellite73

Answer 4

@satellite73

Answer 5

Do you factorise?