What is the answer to log_{4}(x+3)=log_{4}(4x-15) ?

The answer to log_{4}(x+3)=log_{4}(4x-15) is x=6

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log_{4}(x+3)=log_{4}(4x-15)

lo g_{4} (x + 3) = lo g_{4} (4 x - 15)

x = 6

Solution steps

lo g_{4} (x + 3) = lo g_{4} (4 x - 15)

Apply log rules

x + 3 = 4 x - 15

Solve

x + 3 = 4 x - 15 : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

lo g_{2} (- 5 x + 15) = 4

lo g_{10} (X) = 0.235

lo g_{10} (5 - 4 lo g_{10} (X + 2)) = 0

x = lo g_{4} (x)

lo g_{10} (3 x + 25) = 2

What is the answer to log_{4}(x+3)=log_{4}(4x-15) ?
The answer to log_{4}(x+3)=log_{4}(4x-15) is x=6
Solve for x: log_{4}(x+3)=log_{4}(4x-15)
The solution is x=6