stephenfancher
Answered

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My Final Question! 50 points and Brainliest!
[tex]ln(x-24)+ln(x+100)=3 ln 5[/tex]

Sagot :

Anna651

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=3ln5

choccocakee
In(x-24)*(x+100)= In(5^3)

Multiply the parentheses

In(x^2+100x-24x-2400)= In(5^3)

Set the arguments equal

x^2-100x-24x-2400=5^3

Collect like terms, evaluate the power and move the constant to the left

x^2+76x-2525= 0

solve via quadratic equation

x= -76*square root of 76^2-4*2525 divided by 2*1

From that you get

-76+ or -126 divided by 2

The two solutions would be -101 or 25

but, the only answer would be 25 as -101 isn't in the defined range, and would make the statement negative


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