What is the answer to log_{x}(8)=1*5 ?

The answer to log_{x}(8)=1*5 is x=\sqrt[5]{8}

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log_{x}(8)=1*5

lo g_{x} (8) = 1 \cdot 5

Decimal Notation

x = 1.51571 \dots

Solution steps

lo g_{x} (8) = 1 \cdot 5

Apply log rules

\frac{1}{lo g _{8} ( x )} = 1 \cdot 5

Multiply both sides by

lo g_{8} (x)

\frac{1}{lo g _{8} ( x )} lo g_{8} (x) = 1 \cdot 5 lo g_{8} (x)

Simplify

1 = 5 lo g_{8} (x)

Switch sides

5 lo g_{8} (x) = 1

Divide both sides by

5

lo g_{8} (x) = \frac{1}{5}

Apply log rules

Verify Solutions:

True

The solution is

y, ln (x^{3} y^{3}) = c

x + ln (x) = - 4

6 ln (x + 2) - 3 = 15

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

lo g_{t} (25) = 2

What is the answer to log_{x}(8)=1*5 ?
The answer to log_{x}(8)=1*5 is x=\sqrt[5]{8}
Solve for x: log_{x}(8)=1*5
The solution is x=\sqrt[5]{8}