SOLUTION: Write each expression as a single logarithm. Log4(x^2-1) - 5log4(x+1) I thought the answer would be Log4[x^2-1/(x+1)^5] The answer given, however, is: Log4[x-1/(x+1)^4] Wha

Question 293751: Write each expression as a single logarithm.
Log4(x^2-1) - 5log4(x+1)
I thought the answer would be Log4[x^2-1/(x+1)^5]
The answer given, however, is: Log4[x-1/(x+1)^4]
What am I doing wrong?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Log4[x^2-1/(x+1)^5]
You are two steps away.
x^2-1=(x+1)*(x-1)
so we cancel out x+1 in the numerator and lower the exponent in the denominator
and we have
Log4[x-1/(x+1)^4]

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