What is the answer to 6log_{x}(27)=18 ?

The answer to 6log_{x}(27)=18 is x=3

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6log_{x}(27)=18

6 lo g_{x} (27) = 18

x = 3

Solution steps

6 lo g_{x} (27) = 18

Divide both sides by

6

lo g_{x} (27) = 3

Apply log rules

\frac{1}{lo g _{27} ( x )} = 3

Multiply both sides by

lo g_{27} (x)

\frac{1}{lo g _{27} ( x )} lo g_{27} (x) = 3 lo g_{27} (x)

Simplify

1 = 3 lo g_{27} (x)

Switch sides

3 lo g_{27} (x) = 1

Divide both sides by

3

lo g_{27} (x) = \frac{1}{3}

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{10} (x) + lo g_{10} (x + 4) = 5

lo g_{10} (x) + lo g_{10} (x + 4) = 1

lo g_{x} (2) = 0.3562

lo g_{10} (x^{2} - 6 x + 9) = 0

lo g_{10} (x^{2} - 8) = 0