nikita33
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Just wondering if someone can tell me if I got this correct. It was a problem on my midterm a month ago and I am going over the probs I got wrong, and I don't know the correct answers.
4(x+1)= 8(x-1)
log 4(x+1) = log 8(x-1)
(x+1) log 4 = (x-1) log 8
x log 4 + log 4 = x log 8 - log 8 (sub/add to get x on one side)
log 8 + log 4 = x log 8 - x log 4
log 8 + log 4 = x(log 8 - log 4) (divide to get x)
log 8 + log 4 = X
---------------
log 8 - log 4
x= 5
Homework Statement
4(x+1)= 8(x-1)
Homework Equations
The Attempt at a Solution
log 4(x+1) = log 8(x-1)
(x+1) log 4 = (x-1) log 8
x log 4 + log 4 = x log 8 - log 8 (sub/add to get x on one side)
log 8 + log 4 = x log 8 - x log 4
log 8 + log 4 = x(log 8 - log 4) (divide to get x)
log 8 + log 4 = X
---------------
log 8 - log 4
x= 5