What is the answer to ln(x+19)+ln(x+5)=ln(51) ?

The answer to ln(x+19)+ln(x+5)=ln(51) is x=-2

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ln(x+19)+ln(x+5)=ln(51)

ln (x + 19) + ln (x + 5) = ln (51)

x = - 2

Solution steps

ln (x + 19) + ln (x + 5) = ln (51)

Apply log rules

(x + 19) (x + 5) = 51

Solve

(x + 19) (x + 5) = 51 : x = - 2, x = - 22

x = - 2, x = - 22

Verify Solutions:

x = - 2

True

, x = - 22

False

The solution is

x = - 2

5 ln (x) - 3 ln (\frac{1}{x}) = 10

lo g_{2} (x^{3}) + 5 = 11

(x - 1) ln (x) = 0

ln (x + 2) - ln (4 x + 3) = - ln (x)

4.6 = - lo g_{10} (x)

What is the answer to ln(x+19)+ln(x+5)=ln(51) ?
The answer to ln(x+19)+ln(x+5)=ln(51) is x=-2
Solve for x: ln(x+19)+ln(x+5)=ln(51)
The solution is x=-2