What is the answer to log_{x}(5)=25 ?

The answer to log_{x}(5)=25 is x=\sqrt[25]{5}

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log_{x}(5)=25

lo g_{x} (5) = 25

Decimal Notation

x = 1.06649 \dots

Solution steps

lo g_{x} (5) = 25

Apply log rules

\frac{1}{lo g _{5} ( x )} = 25

Multiply both sides by

lo g_{5} (x)

\frac{1}{lo g _{5} ( x )} lo g_{5} (x) = 25 lo g_{5} (x)

Simplify

1 = 25 lo g_{5} (x)

Switch sides

25 lo g_{5} (x) = 1

Divide both sides by

25

lo g_{5} (x) = \frac{1}{25}

Apply log rules

Verify Solutions:

True

The solution is

ln (x) = 5.330573486

lo g_{10} (x) = lo g_{10} (3)

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

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

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

What is the answer to log_{x}(5)=25 ?
The answer to log_{x}(5)=25 is x=\sqrt[25]{5}
Solve for x: log_{x}(5)=25
The solution is x=\sqrt[25]{5}