What is the answer to solvefor x,log_{x}(125)=3 ?

The answer to solvefor x,log_{x}(125)=3 is x=5

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solvefor x,log_{x}(125)=3

solve for

x, lo g_{x} (125) = 3

x = 5

Solution steps

lo g_{x} (125) = 3

Apply log rules

\frac{1}{lo g _{125} ( x )} = 3

Multiply both sides by

lo g_{125} (x)

\frac{1}{lo g _{125} ( x )} lo g_{125} (x) = 3 lo g_{125} (x)

Simplify

1 = 3 lo g_{125} (x)

Switch sides

3 lo g_{125} (x) = 1

Divide both sides by

3

lo g_{125} (x) = \frac{1}{3}

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

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

5402 = - ln (1 - x)

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

lo g_{x} (x + 20) = 2

lo g_{4} (x - 95) = lo g_{4} (x - 5) + 2

What is the answer to solvefor x,log_{x}(125)=3 ?
The answer to solvefor x,log_{x}(125)=3 is x=5