SOLUTION: If log[2](7) = a and log[2](5) = b express in terms of a and b the formulas i) log[2](35) ii) log [2](2.8) n.b. [x] is the log base (Y) is the number after the b

Question 751129: If log[2](7) = a and log[2](5) = b express in terms of a and b the formulas
i) log[2](35)
ii) log [2](2.8)
n.b. [x] is the log base
(Y) is the number after the base number
Please help!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If log[2](7) = a and log[2](5) = b express in terms of a and b the formulas
i)
log[2](35)
log[2](7*5)
log[2](7) + log[2](5)
a + b
ii)
log [2](2.8)
log [2](7 * .4)
log [2](7 * 4/10)
log [2](7) + log [2](4/10)
log [2](7) + log [2](4) - log [2](10)
log [2](7) + log [2](2^2) - log [2](5*2)
log [2](7) + log [2](2^2) - (log [2](5)+log [2](2))
log [2](7) + log [2](2^2) - (log [2](5)+log [2](2^1))
log [2](7) + log [2](2^2) - (b+1)
log [2](7) + log [2](2^2) -b-1
a + 2 -b-1
a-b+1

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