What is the answer to log_{x}(5)=4 ?

The answer to log_{x}(5)=4 is x=\sqrt[4]{5}

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log_{x}(5)=4

lo g_{x} (5) = 4

x = 45

Decimal

x = 1.49534 \dots

Solution steps

lo g_{x} (5) = 4

Apply log rules

\frac{1}{lo g _{5} ( x )} = 4

Multiply both sides by

lo g_{5} (x)

\frac{1}{lo g _{5} ( x )} lo g_{5} (x) = 4 lo g_{5} (x)

Simplify

1 = 4 lo g_{5} (x)

Switch sides

4 lo g_{5} (x) = 1

Divide both sides by

4

lo g_{5} (x) = \frac{1}{4}

Apply log rules

x = 45

Verify Solutions:

x = 45

True

The solution is

x = 45

- lo g_{10} (x) = 11.5

x, e^{y} = ln (x^{3} + 3 y)

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

ln (x^{2}) = 2

lo g_{5} (x) + 8 lo g_{25} (x) = - 10

What is the answer to log_{x}(5)=4 ?
The answer to log_{x}(5)=4 is x=\sqrt[4]{5}
Solve for x: log_{x}(5)=4
The solution is x=\sqrt[4]{5}