What is the answer to log_{x}(8)+log_{x}(2)=2 ?

The answer to log_{x}(8)+log_{x}(2)=2 is x=4

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log_{x}(8)+log_{x}(2)=2

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

x = 4

Solution steps

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

Apply log rules

\frac{ln ( 8 \cdot 2 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 8 \cdot 2 )}{ln ( x )} ln (x) = 2 ln (x)

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

ln (2 x) = 16

lo g_{2} ((x + 1)^{3}) = 3

lo g_{2} (x + 1) - lo g_{2} (x) = 3

ln (x + 1) = 6 - 7 x

lo g_{7} (2 x + 1) + lo g_{7} (x - 1) = 1

What is the answer to log_{x}(8)+log_{x}(2)=2 ?
The answer to log_{x}(8)+log_{x}(2)=2 is x=4
Solve for x: log_{x}(8)+log_{x}(2)=2
The solution is x=4