How do I solve this Log Equation symbolically?

Question

log x^4 = 3 + 2 log x

The answer is x = 10 ^3/2

Answer 1

log x^4 = 3 + 2 log x

log x^4 - 2 log x = 3

Since logarjthm subtraction suggests division of the original numbers and the anti-log of 3 is 1000

(x^4)/(x^2) = 1000 =10^3

x^2 = 10^3

Therefore

x = 10^(3/2)
.