Answer:
x = 5
Explanation:
the whole equation is
2log(x) - 3log(2) + log(32) = 2
converting the first 2 expressions by using standard logarithm laws
2log(x) = log(x²)
3log(2) = log(2³) = log(8)
the combining these converted expressions again by using standard logarithm laws
log(x²) - log(8) = log(x²/8)
log(x²/8) + log(32) = log(32×x²/8) = log(4x²)
log(4x²) = 2
now dissolving the logarithm by converting every side to the power of 10.
4x² = 10² = 100
x² = 25
x = 5