What is the answer to log_{6}(2(x^3+5))=3 ?

The answer to log_{6}(2(x^3+5))=3 is x=\sqrt[3]{103}

Solve for x: log_{6}(2(x^3+5))=3

The solution is x=\sqrt[3]{103}

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lo g_{6} (2 (x^{3} + 5)) = 3

Decimal Notation

x = 4.68754 \dots

Solution steps

lo g_{6} (2 (x^{3} + 5)) = 3

Apply log rules

2 (x^{3} + 5) = 216

Solve

lo g_{2} (3 x - 1) = 4

lo g_{2} (3 x - 1) = 5

lo g_{2} (3 x - 1) = 2

ln (\frac{3}{2} + C) = 0

lo g_{0.5} (x) = lo g_{2} (5)

What is the answer to log_{6}(2(x^3+5))=3 ?
The answer to log_{6}(2(x^3+5))=3 is x=\sqrt[3]{103}
Solve for x: log_{6}(2(x^3+5))=3
The solution is x=\sqrt[3]{103}