What is the answer to log_{x}(5)=3 ?

The answer to log_{x}(5)=3 is x=\sqrt[3]{5}

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log_{x}(5)=3

lo g_{x} (5) = 3

Decimal Notation

x = 1.70997 \dots

Solution steps

lo g_{x} (5) = 3

Apply log rules

\frac{1}{lo g _{5} ( x )} = 3

Multiply both sides by

lo g_{5} (x)

\frac{1}{lo g _{5} ( x )} lo g_{5} (x) = 3 lo g_{5} (x)

Simplify

1 = 3 lo g_{5} (x)

Switch sides

3 lo g_{5} (x) = 1

Divide both sides by

3

lo g_{5} (x) = \frac{1}{3}

Apply log rules

Verify Solutions:

True

The solution is

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

ln (x) = 0.66

lo g_{x} (27) = - 3

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

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

What is the answer to log_{x}(5)=3 ?
The answer to log_{x}(5)=3 is x=\sqrt[3]{5}
Solve for x: log_{x}(5)=3
The solution is x=\sqrt[3]{5}