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What is the solution to the equation?

1/2ln(x+37) = ln(x^2 -25) - ln(x+5)

 Jan 13, 2020

Best Answer 

 #1
avatar+20254 
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= 1/2 ln(x+37)  = ln {(x^2-25)/(x+5)}

1/2 ln (x+37)= ln (x-5)

ln (x+37)1/2 =ln(x-5)

sqrt (x+37 ) = x-5

x+37 = x^2 -10x+25

x^2 -11x-12   = 0

(x-12)(x+1) = 0      x = 12    or -1  (throw out....would result in  ln  of negative number)  

 Jan 13, 2020
 #1
avatar+20254 
+3
Best Answer

= 1/2 ln(x+37)  = ln {(x^2-25)/(x+5)}

1/2 ln (x+37)= ln (x-5)

ln (x+37)1/2 =ln(x-5)

sqrt (x+37 ) = x-5

x+37 = x^2 -10x+25

x^2 -11x-12   = 0

(x-12)(x+1) = 0      x = 12    or -1  (throw out....would result in  ln  of negative number)  

ElectricPavlov Jan 13, 2020

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