Please give explation

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Please give explation

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The Brainliest Answer!

so in the first case x is 32.

We know that 5 raised to the power (-2) is 1/25

hence x-3=(-2) and x=1

32^x = 32

or log (32^x) = log 32

or x log 32 = log 32

(divide both sides by log 32)

or x = 1.

b.

5^(x-3) = 1/25

or log (5^(x-3)) = log (1/25)

or log (5^(x-3)) = log (5^(-2))

or (x-3) log (5) = -2 log (5)

(divide both sides by log 5)

or x-3 = -2

or x = -2+3

or x = 1