What is the answer to log_{b}(3)=10 ?

The answer to log_{b}(3)=10 is b=\sqrt[10]{3}

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log_{b}(3)=10

lo g_{b} (3) = 10

Decimal Notation

b = 1.11612 \dots

Solution steps

lo g_{b} (3) = 10

Apply log rules

\frac{1}{lo g _{3} ( b )} = 10

Multiply both sides by

lo g_{3} (b)

\frac{1}{lo g _{3} ( b )} lo g_{3} (b) = 10 lo g_{3} (b)

Simplify

1 = 10 lo g_{3} (b)

Switch sides

10 lo g_{3} (b) = 1

Divide both sides by

10

lo g_{3} (b) = \frac{1}{10}

Apply log rules

Verify Solutions:

True

The solution is

lo g_{2} (x - 1) + lo g_{2} (2 x - 1) = 0

7.3 = lo g_{10} (x)

lo g_{6} (8 - 3 x) = 1

\frac{9}{2} lo g_{4} (x) = 7

\frac{9}{5} lo g_{4} (x) = - 2

What is the answer to log_{b}(3)=10 ?
The answer to log_{b}(3)=10 is b=\sqrt[10]{3}
Solve for b: log_{b}(3)=10
The solution is b=\sqrt[10]{3}