What is the answer to ln(x-7)+ln(x+2)=0 ?

The answer to ln(x-7)+ln(x+2)=0 is x=(5+sqrt(85))/2

Solve for x: ln(x-7)+ln(x+2)=0

The solution is x=(5+sqrt(85))/2

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ln (x - 7) + ln (x + 2) = 0

x = \frac{5 + 85}{2}

Solution steps

ln (x - 7) + ln (x + 2) = 0

Apply log rules

(x - 7) (x + 2) = 1

Solve

(x - 7) (x + 2) = 1 : x = \frac{5 + 85}{2}, x = \frac{5 - 85}{2}

x = \frac{5 + 85}{2}, x = \frac{5 - 85}{2}

Verify Solutions:

x = \frac{5 + 85}{2}

True

, x = \frac{5 - 85}{2}

False

The solution is

x = \frac{5 + 85}{2}

lo g_{2} (2 x - 3) = 3

4 - lo g_{10} (4 - x) = 3

8 = lo g_{\frac{11}{10}} (t - 8)

ln (x + 3) = - 1

ln (3 x + 2) = 3 x

What is the answer to ln(x-7)+ln(x+2)=0 ?
The answer to ln(x-7)+ln(x+2)=0 is x=(5+sqrt(85))/2
Solve for x: ln(x-7)+ln(x+2)=0
The solution is x=(5+sqrt(85))/2