What is the answer to log_{4}(5p-6)=log_{4}(4p+2) ?

The answer to log_{4}(5p-6)=log_{4}(4p+2) is p=8

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log_{4}(5p-6)=log_{4}(4p+2)

lo g_{4} (5 p - 6) = lo g_{4} (4 p + 2)

p = 8

Solution steps

lo g_{4} (5 p - 6) = lo g_{4} (4 p + 2)

Apply log rules

5 p - 6 = 4 p + 2

Solve

5 p - 6 = 4 p + 2 : p = 8

p = 8

Verify Solutions:

p = 8

True

The solution is

p = 8

lo g_{2} (3 x^{2} + 7 x) = 3

lo g_{4} (x^{2}) = 3

lo g_{10} (2 x - 2) = lo g_{10} (x + 1)

2 lo g_{10} (x) - lo g_{10} (2 x + 15) = 0

lo g_{4} (m) = 0

What is the answer to log_{4}(5p-6)=log_{4}(4p+2) ?
The answer to log_{4}(5p-6)=log_{4}(4p+2) is p=8
Solve for p: log_{4}(5p-6)=log_{4}(4p+2)
The solution is p=8