What is the answer to log_{x}(4)=8 ?

The answer to log_{x}(4)=8 is x=\sqrt[4]{2}

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log_{x}(4)=8

lo g_{x} (4) = 8

Solution steps

lo g_{x} (4) = 8

Apply log rules

\frac{1}{lo g _{4} ( x )} = 8

Multiply both sides by

lo g_{4} (x)

\frac{1}{lo g _{4} ( x )} lo g_{4} (x) = 8 lo g_{4} (x)

Simplify

1 = 8 lo g_{4} (x)

Switch sides

8 lo g_{4} (x) = 1

Divide both sides by

8

lo g_{4} (x) = \frac{1}{8}

Apply log rules

Verify Solutions:

True

The solution is

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)

lo g_{3} (x + 3) - lo g_{3} (x - 3) = 3

What is the answer to log_{x}(4)=8 ?
The answer to log_{x}(4)=8 is x=\sqrt[4]{2}
Solve for x: log_{x}(4)=8
The solution is x=\sqrt[4]{2}