What is the answer to log_{x}(27)+log_{x}(3)=2 ?

The answer to log_{x}(27)+log_{x}(3)=2 is x=9

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log_{x}(27)+log_{x}(3)=2

lo g_{x} (27) + lo g_{x} (3) = 2

x = 9

Solution steps

lo g_{x} (27) + lo g_{x} (3) = 2

Apply log rules

\frac{ln ( 27 \cdot 3 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 27 \cdot 3 )}{ln ( x )} ln (x) = 2 ln (x)

Apply log rules

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

lo g_{10} (2 x - 7) = 0

lo g_{0.04} ((x + 1)^{6}) = 2

lo g_{2} (2 x + 4) = 3

lo g_{4} (x + 1) = 2

lo g_{8} (x) = \frac{2}{3}

What is the answer to log_{x}(27)+log_{x}(3)=2 ?
The answer to log_{x}(27)+log_{x}(3)=2 is x=9
Solve for x: log_{x}(27)+log_{x}(3)=2
The solution is x=9