Solve the exponential equation 32^x=8 by expressing each side as a power o

abondantQ

abondantQ

Answered question

2021-10-08

Solve the exponential equation 32x=8 by expressing each side as a power of the same base and then equating exponents.

Answer & Explanation

un4t5o4v

un4t5o4v

Skilled2021-10-09Added 105 answers

To determine:
To solve 32x=8 by expressing each side as a power of the same base and then equating exponents.
Calculation:
We know, 32=2×2×2×2×2
32=25
Also, 8=2×2×2
8=23
Plugging these values in the given equation, we get,
(25)x=23
25x=23
If base are same the equating powers, we get,
5x=3
x=35
Hence, x=35 is the solution of given equation.

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