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

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

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

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

x = 3

Solution steps

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

Apply log rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

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

lo g_{3} (x + 25) - lo g_{3} (x - 1) = 3

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

lo g_{10} (x^{2} - 15 x) = 3

ln (x) = 2

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