What is the answer to log_{x}(2)=10 ?

The answer to log_{x}(2)=10 is x=\sqrt[10]{2}

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log_{x}(2)=10

lo g_{x} (2) = 10

Decimal Notation

x = 1.07177 \dots

Solution steps

lo g_{x} (2) = 10

Apply log rules

\frac{1}{lo g _{2} ( x )} = 10

Multiply both sides by

lo g_{2} (x)

\frac{1}{lo g _{2} ( x )} lo g_{2} (x) = 10 lo g_{2} (x)

Simplify

1 = 10 lo g_{2} (x)

Switch sides

10 lo g_{2} (x) = 1

Divide both sides by

10

lo g_{2} (x) = \frac{1}{10}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{2} (x - 1) = - 1

ln (\frac{4 - x}{2 + 2 x}) = 0

lo g_{3} (x^{2}) - lo g_{3} (4 x) = 2

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

lo g_{6} (2 x - 5) = lo g_{4} (6)

What is the answer to log_{x}(2)=10 ?
The answer to log_{x}(2)=10 is x=\sqrt[10]{2}
Solve for x: log_{x}(2)=10
The solution is x=\sqrt[10]{2}