SOLUTION: i don't understand how to solve this problem. the examples in my book don't explain it very well. it would be great to get a step by step explanation and not just the answer. thank

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: i don't understand how to solve this problem. the examples in my book don't explain it very well. it would be great to get a step by step explanation and not just the answer. thank      Log On


   

Question 354248: i don't understand how to solve this problem. the examples in my book don't explain it very well. it would be great to get a step by step explanation and not just the answer. thanks
ln (x^2+12)=ln x+ ln 8
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
adding logarithms is analogous to multiplying their arguments
___ ln(x) + ln(8) = ln(8x)

ln(x^2+12) = ln (8x) ___ if the logarithms are equal , the arguments must be equal

x^2 + 12 = 8x ___ x^2 - 8x + 12 = 0

factoring ___ (x - 6)(x - 2) = 0