What is the answer to ln(x+3)+ln(x+7)=ln(77) ?

The answer to ln(x+3)+ln(x+7)=ln(77) is x=4

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ln(x+3)+ln(x+7)=ln(77)

ln (x + 3) + ln (x + 7) = ln (77)

x = 4

Solution steps

ln (x + 3) + ln (x + 7) = ln (77)

Apply log rules

(x + 3) (x + 7) = 77

Solve

(x + 3) (x + 7) = 77 : x = 4, x = - 14

x = 4, x = - 14

Verify Solutions:

x = 4

True

, x = - 14

False

The solution is

x = 4

0.5 = lo g_{10} (x)

ln (x) = e^{2}

lo g_{2} (x - 7) = 3 - lo g_{2} (x - 5)

ln (x + 1) = ln (5 + x) - ln (x + 2)

ln (3 - 2 x) - 2 ln (x) = 0

What is the answer to ln(x+3)+ln(x+7)=ln(77) ?
The answer to ln(x+3)+ln(x+7)=ln(77) is x=4
Solve for x: ln(x+3)+ln(x+7)=ln(77)
The solution is x=4