What is the answer to log_{x}(16)+log_{x}(4)=3 ?

The answer to log_{x}(16)+log_{x}(4)=3 is x=4

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log_{x}(16)+log_{x}(4)=3

lo g_{x} (16) + lo g_{x} (4) = 3

x = 4

Solution steps

lo g_{x} (16) + lo g_{x} (4) = 3

Apply log rules

\frac{ln ( 16 \cdot 4 )}{ln ( x )} = 3

Multiply both sides by

ln (x)

\frac{ln ( 16 \cdot 4 )}{ln ( x )} ln (x) = 3 ln (x)

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{2} (x) \cdot ln (2) = 1

ln (t) = 1.56 + 0.82 \cdot ln (56)

11.3 = - lo g_{10} (x)

x, 0 = lo g_{y} (x)

- 10 ln (n - 8) - 8 = - 18

What is the answer to log_{x}(16)+log_{x}(4)=3 ?
The answer to log_{x}(16)+log_{x}(4)=3 is x=4
Solve for x: log_{x}(16)+log_{x}(4)=3
The solution is x=4