What is the answer to log_{4}((x^5)/3)=2 ?

The answer to log_{4}((x^5)/3)=2 is x=\sqrt[5]{48}

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log_{4}((x^5)/3)=2

lo g_{4} (\frac{x ^{5}}{3}) = 2

Decimal Notation

x = 2.16894 \dots

Solution steps

lo g_{4} (\frac{x ^{5}}{3}) = 2

Apply log rules

\frac{x ^{5}}{3} = 4^{2}

Multiply both sides by

3

\frac{x ^{5}}{3} \cdot 3 = 4^{2} \cdot 3

Simplify

x^{5} = 48

Solve

Verify Solutions:

True

The solution is

lo g_{3} (4 c - 5) = 8

2 lo g_{6} (x) = 2

lo g_{x + 3} (2 x^{2} + 2 x + 9) = 2

ln (x - 1) - 2 = 0

lo g_{10} (5) + lo g_{10} (x - 3) = 1

What is the answer to log_{4}((x^5)/3)=2 ?
The answer to log_{4}((x^5)/3)=2 is x=\sqrt[5]{48}
Solve for x: log_{4}((x^5)/3)=2
The solution is x=\sqrt[5]{48}