What is the answer to log_{10}(sqrt(x^3-9))=2 ?

The answer to log_{10}(sqrt(x^3-9))=2 is x=\sqrt[3]{10009}

Solve for x: log_{10}(sqrt(x^3-9))=2

The solution is x=\sqrt[3]{10009}

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lo g_{10} (x^{3} - 9) = 2

Decimal Notation

x = 21.55080 \dots

Solution steps

lo g_{10} (x^{3} - 9) = 2

Apply log rules

x^{3} - 9 = 100

Solve

lo g_{4} (2) - lo g_{4} (y) = 1

lo g_{5} (3 x + 7) = 2

lo g_{10} (x + 6) = 1

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

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

What is the answer to log_{10}(sqrt(x^3-9))=2 ?
The answer to log_{10}(sqrt(x^3-9))=2 is x=\sqrt[3]{10009}
Solve for x: log_{10}(sqrt(x^3-9))=2
The solution is x=\sqrt[3]{10009}