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

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

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

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

x = 9

Solution steps

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

Apply log rules

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

Multiply both sides by

ln (x)

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

Apply log rules

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

x, f = lo g_{g} (x)

lo g_{10} (10 a) = 1.5

10 \cdot lo g_{10} (x^{2}) = 2

- lo g_{10} (x) = 11.66

lo g_{x} (8) = 3

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