What is the answer to log_{m}(4)=2 ?

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

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log_{m}(4)=2

lo g_{m} (4) = 2

m = 2

Solution steps

lo g_{m} (4) = 2

Apply log rules

\frac{1}{lo g _{4} ( m )} = 2

Multiply both sides by

lo g_{4} (m)

\frac{1}{lo g _{4} ( m )} lo g_{4} (m) = 2 lo g_{4} (m)

Simplify

1 = 2 lo g_{4} (m)

Switch sides

2 lo g_{4} (m) = 1

Divide both sides by

2

lo g_{4} (m) = \frac{1}{2}

Apply log rules

m = 2

Verify Solutions:

m = 2

True

The solution is

m = 2

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

5 lo g_{10} (2 x - 8) = 2

10 lo g_{10} (1 + x^{2}) = 0.5

ln (s) = 74484

lo g_{10} (N) = 2