What is the answer to ln(x-3)+ln(x-2)=ln(2x+24) ?

The answer to ln(x-3)+ln(x-2)=ln(2x+24) is x=9

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ln(x-3)+ln(x-2)=ln(2x+24)

ln (x - 3) + ln (x - 2) = ln (2 x + 24)

x = 9

Solution steps

ln (x - 3) + ln (x - 2) = ln (2 x + 24)

Apply log rules

(x - 3) (x - 2) = 2 x + 24

Solve

(x - 3) (x - 2) = 2 x + 24 : x = 9, x = - 2

x = 9, x = - 2

Verify Solutions:

x = 9

True

, x = - 2

False

The solution is

x = 9

lo g_{10} (5 x) = 2

ln (x^{2}) = 12

7 = - lo g_{10} (x)

ln (\frac{20}{7 - x}) = ln (2 x)

(ln (x))^{2} = ln (x^{2})

What is the answer to ln(x-3)+ln(x-2)=ln(2x+24) ?
The answer to ln(x-3)+ln(x-2)=ln(2x+24) is x=9
Solve for x: ln(x-3)+ln(x-2)=ln(2x+24)
The solution is x=9