What is the answer to log_{9}(x+8)+log_{9}(x+7)=2 ?

The answer to log_{9}(x+8)+log_{9}(x+7)=2 is x=(-15+5sqrt(13))/2

Solve for x: log_{9}(x+8)+log_{9}(x+7)=2

The solution is x=(-15+5sqrt(13))/2

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lo g_{9} (x + 8) + lo g_{9} (x + 7) = 2

x = \frac{- 15 + 5 13}{2}

Decimal Notation

x = 1.51387 \dots

Solution steps

lo g_{9} (x + 8) + lo g_{9} (x + 7) = 2

Apply log rules

(x + 8) (x + 7) = 81

Solve

(x + 8) (x + 7) = 81 : x = \frac{- 15 + 5 13}{2}, x = \frac{- 15 - 5 13}{2}

x = \frac{- 15 + 5 13}{2}, x = \frac{- 15 - 5 13}{2}

Verify Solutions:

x = \frac{- 15 + 5 13}{2}

True

, x = \frac{- 15 - 5 13}{2}

False

The solution is

x = \frac{- 15 + 5 13}{2}

0.74 = lo g_{10} (x)

0.77 = lo g_{10} (x)

ln (x^{2} + x + 1) = 0

lo g_{0.2} (x) = - 1

lo g_{6} (x) = - 3

What is the answer to log_{9}(x+8)+log_{9}(x+7)=2 ?
The answer to log_{9}(x+8)+log_{9}(x+7)=2 is x=(-15+5sqrt(13))/2
Solve for x: log_{9}(x+8)+log_{9}(x+7)=2
The solution is x=(-15+5sqrt(13))/2