What is the answer to log_{x}(4)=1 ?

The answer to log_{x}(4)=1 is x=4

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log_{x}(4)=1

lo g_{x} (4) = 1

x = 4

Solution steps

lo g_{x} (4) = 1

Apply log rules

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

Multiply both sides by

lo g_{4} (x)

\frac{1}{lo g _{4} ( x )} lo g_{4} (x) = 1 \cdot lo g_{4} (x)

Simplify

1 = lo g_{4} (x)

Apply log rules

4 = x

Switch sides

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{x} (4) = 4

lo g_{x} (4) = 3

lo g_{x} (4) = 8

lo g_{10} (x) = 1.0992

8 (ln (2 x) + 1) = 0