What is the answer to 2log_{x}(2)+4log_{x}(4)=5 ?

The answer to 2log_{x}(2)+4log_{x}(4)=5 is x=4

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2log_{x}(2)+4log_{x}(4)=5

2 lo g_{x} (2) + 4 lo g_{x} (4) = 5

x = 4

Solution steps

2 lo g_{x} (2) + 4 lo g_{x} (4) = 5

Apply log rules

\frac{ln ( 2 ^{2} \cdot 4 ^{4} )}{ln ( x )} = 5

Multiply both sides by

ln (x)

\frac{ln ( 2 ^{2} \cdot 4 ^{4} )}{ln ( x )} ln (x) = 5 ln (x)

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

\frac{x}{ln ( x )} = 1

6 ln (7 x - 8) + 8 = 50

\frac{1}{2} lo g_{2} (X) = - 3

4 ln (x - 5) = 12

lo g_{2} (x^{2} - 15 x) = 3

What is the answer to 2log_{x}(2)+4log_{x}(4)=5 ?
The answer to 2log_{x}(2)+4log_{x}(4)=5 is x=4
Solve for x: 2log_{x}(2)+4log_{x}(4)=5
The solution is x=4