What is the answer to log_{x}(4)=3 ?

The answer to log_{x}(4)=3 is x=\sqrt[3]{4}

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log_{x}(4)=3

lo g_{x} (4) = 3

Decimal Notation

x = 1.58740 \dots

Solution steps

lo g_{x} (4) = 3

Apply log rules

\frac{1}{lo g _{4} ( x )} = 3

Multiply both sides by

lo g_{4} (x)

\frac{1}{lo g _{4} ( x )} lo g_{4} (x) = 3 lo g_{4} (x)

Simplify

1 = 3 lo g_{4} (x)

Switch sides

3 lo g_{4} (x) = 1

Divide both sides by

3

lo g_{4} (x) = \frac{1}{3}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{x} (4) = 8

lo g_{10} (x) = 1.0992

8 (ln (2 x) + 1) = 0

lo g_{5} (x + 18) - lo g_{5} (x - 6) = 2

- 0.09 = lo g_{10} (x)

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