Solve \log_4x=\frac{5}{2}

Ashley Searcy

Ashley Searcy

Answered question

2021-11-10

Solve log4x=52

Answer & Explanation

Crom1970

Crom1970

Beginner2021-11-11Added 6 answers

Step 1
We have to solve the equation:
log4x=52
We know the properties of logarithms,
loga(b)=c
b=ac
Step 2
Applying above property for the given equation logarithm,
log4x=52
x=452
=22×52
=25
=2×2×2×2×2
=32
Hence, solution of the equation is x=32.

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