What is the answer to log_{x}(50625)=4 ?

The answer to log_{x}(50625)=4 is x=15

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log_{x}(50625)=4

lo g_{x} (50625) = 4

x = 15

Solution steps

lo g_{x} (50625) = 4

Apply log rules

\frac{1}{lo g _{50625} ( x )} = 4

Multiply both sides by

lo g_{50625} (x)

\frac{1}{lo g _{50625} ( x )} lo g_{50625} (x) = 4 lo g_{50625} (x)

Simplify

1 = 4 lo g_{50625} (x)

Switch sides

4 lo g_{50625} (x) = 1

Divide both sides by

4

lo g_{50625} (x) = \frac{1}{4}

Apply log rules

x = 15

Verify Solutions:

x = 15

True

The solution is

x = 15

22 = ln (x) + x

5 lo g_{10} (x) = 3 \cdot 3

lo g_{x} (3) + 16 lo g_{81} (x) = 5

lo g_{2} (9 x + 2) = 2

lo g_{10} (x) = lo g_{10} (x + 1)