SOLUTION: Simplify the following : log a/b + log (a/b)^-1

SOLUTION: Simplify the following : log a/b + log (a/b)^-1

Algebra.Com

Question 935279: Simplify the following : log a/b + log (a/b)^-1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
log a/b + log (a/b)^-1
= log(a/b) + log (b/a)
= log(a*b/a*b)
= log(1)
= 0 (with the restriction that a <> 0 and b <> 0)
RELATED QUESTIONS
evalute the following exactly a) {{{log(12,1)}}} b)... (answered by Edwin McCravy)

Show all work for the following problems. Give exact answers. a.) log(log(googol)) = ?... (answered by MathLover1)

Simplify (a) 2log(5x)-log((x^3)�4)+logx (b) log... (answered by josgarithmetic)

is 3 log a+ log 1 - log b =... (answered by stanbon)

suppose that log(2) =a and log(3)= b. determine the following by showing your work.... (answered by jsmallt9)

Please simplify and express as a single logarithm; 1/2 log b + 9 log... (answered by CharlesG2)

express the following using one log a.log x + log 4 � log 2 b.2log x + log 5 + log 2 (answered by erica65404)

Given that log(2,10) = a and log(3,10) = b , write the following terms of a and b . (answered by stanbon)

If A=log 2 and B=log 3, write the following in terms of A and B: a)log 36 b)log 54 (answered by stanbon)