What is the answer to log_{sqrt(x)}(8)=3 ?

The answer to log_{sqrt(x)}(8)=3 is x=4

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log_{sqrt(x)}(8)=3

lo g_{x} (8) = 3

x = 4

Solution steps

lo g_{x} (8) = 3

Apply log rules

\frac{1}{lo g _{8} ( x )} = 3

Multiply both sides by

lo g_{8} (x)

\frac{1}{lo g _{8} ( x )} lo g_{8} (x) = 3 lo g_{8} (x)

Simplify

1 = 3 lo g_{8} (x)

Switch sides

3 lo g_{8} (x) = 1

Divide both sides by

3

lo g_{8} (x) = \frac{1}{3}

Apply log rules

x = 2

Solve

x = 2 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

ln (7 + 2 x) = ln (1 + 4 x)

lo g_{3} (x - 5) - lo g_{3} (x - 1) = 2

lo g_{10} (5 x) + lo g_{10} (x + 5) = 1

ln (9 x + e) = 7

1 - lo g_{3} (8 x + 1) = 5

What is the answer to log_{sqrt(x)}(8)=3 ?
The answer to log_{sqrt(x)}(8)=3 is x=4
Solve for x: log_{sqrt(x)}(8)=3
The solution is x=4