My Final Question! 50 points and Brainliest!
id="TexFormula1" title="ln(x-24)+ln(x+100)=3 ln 5" alt="ln(x-24)+ln(x+100)=3 ln 5" align="absmiddle" class="latex-formula">
2 answers:
Answer:
lnx-24ln+lnx+100ln=3ln5
2lnx+76ln=3ln5
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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