What is the answer to ln(x+2)+ln(x+1)=ln(4x+14) ?

The answer to ln(x+2)+ln(x+1)=ln(4x+14) is x=4

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ln(x+2)+ln(x+1)=ln(4x+14)

ln (x + 2) + ln (x + 1) = ln (4 x + 14)

x = 4

Solution steps

ln (x + 2) + ln (x + 1) = ln (4 x + 14)

Apply log rules

(x + 2) (x + 1) = 4 x + 14

Solve

(x + 2) (x + 1) = 4 x + 14 : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions:

x = 4

True

, x = - 3

False

The solution is

x = 4

- \frac{1}{10} ln (2 - 10 w) = 0

lo g_{4} (x + 4) = 3

lo g_{4} (x) = lo g_{4} (x + 1) + 2

lo g_{10} (x) = - 14.108

2 lo g_{a} (x) = lo g_{a} (16) + 4

What is the answer to ln(x+2)+ln(x+1)=ln(4x+14) ?
The answer to ln(x+2)+ln(x+1)=ln(4x+14) is x=4
Solve for x: ln(x+2)+ln(x+1)=ln(4x+14)
The solution is x=4