What is the answer to log_{2}(x)=log_{4}(x+6) ?

The answer to log_{2}(x)=log_{4}(x+6) is x=3

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log_{2}(x)=log_{4}(x+6)

lo g_{2} (x) = lo g_{4} (x + 6)

x = 3

Solution steps

lo g_{2} (x) = lo g_{4} (x + 6)

Apply log rules

x^{2} = x + 6

Solve

x^{2} = x + 6 : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions:

x = 3

True

, x = - 2

False

The solution is

x = 3

\frac{1 - ln ( x )}{x ^{2}} = 0

lo g_{10} (15 - 2 x) = 2 lo g_{10} (x)

2 x ln (x) + x = 0

lo g_{10} (x) + lo g_{10} (20) = 3

lo g_{x} (1000) = 3

What is the answer to log_{2}(x)=log_{4}(x+6) ?
The answer to log_{2}(x)=log_{4}(x+6) is x=3
Solve for x: log_{2}(x)=log_{4}(x+6)
The solution is x=3