Solve each equation. 8^{2x}=32

midtlinjeg

midtlinjeg

Answered question

2021-09-18

Solve each equation. 82x=32

Answer & Explanation

hajavaF

hajavaF

Skilled2021-09-19Added 90 answers

Step 1
We have to solve the equation:
82x=32
Rewriting the equation,
82x=32
(2×2×2)2x=2×2×2×2×2
(23)2x=25
We know the exponents rule,
(am)n=am×n
am=anm=n
Step 2
Applying above rule in rewritten equation, we get
(23)2x=25
23×2x=25
26x=25
Therefore,
6x=5
x=56
Hence, solution of the equation is x=56

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