What is the answer to log_{3}(x+25)+log_{3}(x-1)=3 ?

The answer to log_{3}(x+25)+log_{3}(x-1)=3 is x=2

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log_{3}(x+25)+log_{3}(x-1)=3

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

x = 2

Solution steps

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

Apply log rules

(x + 25) (x - 1) = 27

Solve

(x + 25) (x - 1) = 27 : x = 2, x = - 26

x = 2, x = - 26

Verify Solutions:

x = 2

True

, x = - 26

False

The solution is

x = 2

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

ln (2) = ln (1 (0 - 1) + c)

ln (\frac{2}{5 x}) = ln (5)

4 lo g_{3} (4 x - 12) = 8

x, - 4 ln (2 x) = - 2.773

What is the answer to log_{3}(x+25)+log_{3}(x-1)=3 ?
The answer to log_{3}(x+25)+log_{3}(x-1)=3 is x=2
Solve for x: log_{3}(x+25)+log_{3}(x-1)=3
The solution is x=2