What is the answer to log_{3}(x+7)+log_{3}(x+8)=8 ?

The answer to log_{3}(x+7)+log_{3}(x+8)=8 is x=(-15+sqrt(26245))/2

Solve for x: log_{3}(x+7)+log_{3}(x+8)=8

The solution is x=(-15+sqrt(26245))/2

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lo g_{3} (x + 7) + lo g_{3} (x + 8) = 8

x = \frac{- 15 + 26245}{2}

Solution steps

lo g_{3} (x + 7) + lo g_{3} (x + 8) = 8

Apply log rules

(x + 7) (x + 8) = 6561

Solve

(x + 7) (x + 8) = 6561 : x = \frac{- 15 + 26245}{2}, x = \frac{- 15 - 26245}{2}

x = \frac{- 15 + 26245}{2}, x = \frac{- 15 - 26245}{2}

Verify Solutions:

x = \frac{- 15 + 26245}{2}

True

, x = \frac{- 15 - 26245}{2}

False

The solution is

x = \frac{- 15 + 26245}{2}

lo g_{10} (x) + lo g_{10} (4 x) = 2

4 + 3 ln (x) = 5

ln (x) = ln (2 x - 1) - ln (x - 2)

- 3 lo g_{7} (- 5 n - 7) = 0

ln^{2} (x) - 3 ln (x) + 2 = 0

What is the answer to log_{3}(x+7)+log_{3}(x+8)=8 ?
The answer to log_{3}(x+7)+log_{3}(x+8)=8 is x=(-15+sqrt(26245))/2
Solve for x: log_{3}(x+7)+log_{3}(x+8)=8
The solution is x=(-15+sqrt(26245))/2