SOLUTION: If a=log base 10 of 2, and b= log base 10 of 3. Express log base 81 of 80 in terms of a & b without incorporating the word "log" in your expression.

Question 253873: If a=log base 10 of 2, and b= log base 10 of 3. Express log base 81 of 80 in terms of a & b without incorporating the word "log" in your expression.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We have the following:
(i)
By change of base, we get
(ii)
(iii)
(iv) =
substituting (iii) and (iv) into (ii) we get
(v)
We were given
a=log_10(2), and b= log_10(3).
Substituting, we get

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