Question

How do you solve `log x^3 + log 8 =3`?

Answer 1

I found: `x=5`

Explanation:

Supposing your logs with base `10` and considering the property of the sum of logs you can write:
`log_10(x^3*8)=3`
`8x^3=10^3`
`x^3=10^3/8` taking the cube root on both sides you get:
`root3(x^3)=root3(10^3/8)`
So:
`x=10/2=5`