What is the answer to solvefor x,log_{x}(8000)=3 ?

The answer to solvefor x,log_{x}(8000)=3 is x=20

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Solve for x log base x of 8000=3

solve for

x, lo g_{x} (8000) = 3

x = 20

Solution steps

lo g_{x} (8000) = 3

Apply log rules

\frac{1}{lo g _{8000} ( x )} = 3

Multiply both sides by

lo g_{8000} (x)

\frac{1}{lo g _{8000} ( x )} lo g_{8000} (x) = 3 lo g_{8000} (x)

Simplify

1 = 3 lo g_{8000} (x)

Switch sides

3 lo g_{8000} (x) = 1

Divide both sides by

3

lo g_{8000} (x) = \frac{1}{3}

Apply log rules

x = 20

Verify Solutions:

x = 20

True

The solution is

x = 20

y, lo g_{4} (64) = y

lo g_{3} (7)

x, lo g_{10} (5 x) = 3

x, lo g_{4} (2) = x

x, lo g_{6} (\frac{1}{36}) = x

What is the answer to solvefor x,log_{x}(8000)=3 ?
The answer to solvefor x,log_{x}(8000)=3 is x=20