What is the answer to log_{x}(2)=5 ?

The answer to log_{x}(2)=5 is x=\sqrt[5]{2}

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log_{x}(2)=5

lo g_{x} (2) = 5

Decimal Notation

x = 1.14869 \dots

Solution steps

lo g_{x} (2) = 5

Apply log rules

\frac{1}{lo g _{2} ( x )} = 5

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 5 lo g_{2} (x)

Simplify

1 = 5 lo g_{2} (x)

Switch sides

5 lo g_{2} (x) = 1

Divide both sides by

5

lo g_{2} (x) = \frac{1}{5}

Apply log rules

Verify Solutions:

True

The solution is

3 + 2 ln (x^{2}) = 7

8 lo g_{2} (7 p - 5) - 4 = 28

3076 = - lo g_{10} (x)

- ln (x) = ln (\frac{1}{x})

e^{- 2 l n (x)} = ln (x^{- 2})

What is the answer to log_{x}(2)=5 ?
The answer to log_{x}(2)=5 is x=\sqrt[5]{2}
Solve for x: log_{x}(2)=5
The solution is x=\sqrt[5]{2}