What is the answer to log_{x}(2)=8 ?

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

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log_{x}(2)=8

lo g_{x} (2) = 8

x = 82

Decimal

x = 1.09050 \dots

Solution steps

lo g_{x} (2) = 8

Apply log rules

\frac{1}{lo g _{2} ( x )} = 8

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 8 lo g_{2} (x)

Simplify

1 = 8 lo g_{2} (x)

Switch sides

8 lo g_{2} (x) = 1

Divide both sides by

8

lo g_{2} (x) = \frac{1}{8}

Apply log rules

x = 82

Verify Solutions:

x = 82

True

The solution is

x = 82

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

lo g_{10} (x + 3) = 1

lo g_{4} (x^{2} + 8) = 2

ln (4 x) = 2.1

lo g_{x} (16) = 12

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