What is the answer to solvefor x,log_{x}(8)=0.5 ?

The answer to solvefor x,log_{x}(8)=0.5 is x=64

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Solve for x log base x of 8=0.5

solve for

x, lo g_{x} (8) = 0.5

x = 64

Solution steps

lo g_{x} (8) = 0.5

Apply log rules

\frac{1}{lo g _{8} ( x )} = 0.5

Multiply both sides by

lo g_{8} (x)

\frac{1}{lo g _{8} ( x )} lo g_{8} (x) = 0.5 lo g_{8} (x)

Simplify

1 = 0.5 lo g_{8} (x)

Switch sides

0.5 lo g_{8} (x) = 1

Divide both sides by

0.5

lo g_{8} (x) = 2

Apply log rules

x = 64

Verify Solutions:

x = 64

True

The solution is

x = 64

x, lo g_{2} (8) = x

lo g_{2} (15)

\frac{lo g _{10} ( y )}{( x ^{4} )}

x, lo g_{5} (625) = x

3 lo g_{10} (2)

What is the answer to solvefor x,log_{x}(8)=0.5 ?
The answer to solvefor x,log_{x}(8)=0.5 is x=64