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

The answer to log_{4}(x^2)=log_{4}(x) is x=1

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log_{4}(x^2)=log_{4}(x)

lo g_{4} (x^{2}) = lo g_{4} (x)

x = 1

Solution steps

lo g_{4} (x^{2}) = lo g_{4} (x)

Apply log rules

x^{2} = x

Solve

x^{2} = x : x = 1, x = 0

x = 1, x = 0

Verify Solutions:

x = 1

True

, x = 0

False

The solution is

x = 1

lo g_{3} (4 x - 6) = lo g_{3} (x)

lo g_{10} (x) = - 2

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

lo g_{10} (3 x + 1) = 3

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

What is the answer to log_{4}(x^2)=log_{4}(x) ?
The answer to log_{4}(x^2)=log_{4}(x) is x=1
Solve for x: log_{4}(x^2)=log_{4}(x)
The solution is x=1