What is the answer to 4=log_{b}(10000) ?

The answer to 4=log_{b}(10000) is b=10

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4=log_{b}(10000)

4 = lo g_{b} (10000)

b = 10

Solution steps

4 = lo g_{b} (10000)

Apply log rules

4 = \frac{1}{lo g _{10000} ( b )}

Multiply both sides by

lo g_{10000} (b)

4 lo g_{10000} (b) = \frac{1}{lo g _{10000} ( b )} lo g_{10000} (b)

Simplify

4 lo g_{10000} (b) = 1

Divide both sides by

4

lo g_{10000} (b) = \frac{1}{4}

Apply log rules

b = 10

Verify Solutions:

b = 10

True

The solution is

b = 10

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

0.87 = lo g_{10} (x)

lo g_{2} (n) = 1000000

lo g_{3} (- 4 x + 10) = 4

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