What's the answer for this questionew with clear and explained working?

x = 5

Step-by-step 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

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