What is the answer to log_{b}(16)=2 ?

The answer to log_{b}(16)=2 is b=4

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log_{b}(16)=2

lo g_{b} (16) = 2

b = 4

Solution steps

lo g_{b} (16) = 2

Apply log rules

\frac{1}{lo g _{16} ( b )} = 2

Multiply both sides by

lo g_{16} (b)

\frac{1}{lo g _{16} ( b )} lo g_{16} (b) = 2 lo g_{16} (b)

Simplify

1 = 2 lo g_{16} (b)

Switch sides

2 lo g_{16} (b) = 1

Divide both sides by

2

lo g_{16} (b) = \frac{1}{2}

Apply log rules

b = 4

Verify Solutions:

b = 4

True

The solution is

b = 4

5 - 3 ln (4 x) = - 10

lo g_{10} (6 n - 4) = 2

lo g_{2} (x) = 2 + lo g_{2} (15)

ln (3 x - 10) = 5

ln (3 x - 10) = 7