What is the answer to log_{x}(729)=2 ?

The answer to log_{x}(729)=2 is x=27

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log_{x}(729)=2

lo g_{x} (729) = 2

x = 27

Solution steps

lo g_{x} (729) = 2

Apply log rules

\frac{1}{lo g _{729} ( x )} = 2

Multiply both sides by

lo g_{729} (x)

\frac{1}{lo g _{729} ( x )} lo g_{729} (x) = 2 lo g_{729} (x)

Simplify

1 = 2 lo g_{729} (x)

Switch sides

2 lo g_{729} (x) = 1

Divide both sides by

2

lo g_{729} (x) = \frac{1}{2}

Apply log rules

x = 27

Verify Solutions:

x = 27

True

The solution is

x = 27

lo g_{4} (2 x - 5) = 0.5

3 lo g_{10} (5 x) = 15

lo g_{2} (3 x + 5) = 5

ln (\frac{c x}{ab + c}) = b + c

lo g_{10} (x^{2} + 75) = 2