What is the answer to log_{x}(10)=3 ?

The answer to log_{x}(10)=3 is x=\sqrt[3]{10}

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log_{x}(10)=3

lo g_{x} (10) = 3

Decimal Notation

x = 2.15443 \dots

Solution steps

lo g_{x} (10) = 3

Apply log rules

\frac{1}{lo g _{10} ( x )} = 3

Multiply both sides by

lo g_{10} (x)

\frac{1}{lo g _{10} ( x )} lo g_{10} (x) = 3 lo g_{10} (x)

Simplify

1 = 3 lo g_{10} (x)

Switch sides

3 lo g_{10} (x) = 1

Divide both sides by

3

lo g_{10} (x) = \frac{1}{3}

Apply log rules

Verify Solutions:

True

The solution is

ln (x) = (\frac{a}{3}) + 1

lo g_{x} (4096) = 6

- ln (- x) = 0

lo g_{2} (x) + 8 = 12

lo g_{a} (25) = 2

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