What is the answer to log_{m}(256)=4 ?

The answer to log_{m}(256)=4 is m=4

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log_{m}(256)=4

lo g_{m} (256) = 4

m = 4

Solution steps

lo g_{m} (256) = 4

Apply log rules

\frac{1}{lo g _{256} ( m )} = 4

Multiply both sides by

lo g_{256} (m)

\frac{1}{lo g _{256} ( m )} lo g_{256} (m) = 4 lo g_{256} (m)

Simplify

1 = 4 lo g_{256} (m)

Switch sides

4 lo g_{256} (m) = 1

Divide both sides by

4

lo g_{256} (m) = \frac{1}{4}

Apply log rules

m = 4

Verify Solutions:

m = 4

True

The solution is

m = 4

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

lo g_{2} (x) + lo g_{2} (2 x + 3) = 1

ln (5) - ln (4 - 4 x) = ln (33)

\frac{ln ( x )}{x} x = 1

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