Homework Help: Math

Posted by Kevin on Saturday, October 20, 2012 at 7:27pm.

solve log(7x-3)+2log(5)=2+log(x+3)

I've attempted to do this question and I ended up with log(7-3)+log(5^2)-log(x+3)=2 but I don't what to do next or whether I did something wrong.

Math - Reiny, Sunday, October 21, 2012 at 12:18am
write is as

log((7x-3)(25)/(x+3) = 2
25(7x - 3)/(x+3) = 10^2 = 100
divide by 25
(7x-3)(x+3) = 4
cross-multiply
7x-3 = 4x+12
3x = 15
x = 5

check:
LS = log 32 + log 25 - log 8
= log(32(25)/8)
= log 100
= 2
= RS
Math - Kevin, Sunday, October 21, 2012 at 1:31pm
Just wondering what did you do in this log((7x-3)(25)/(x+3) = 2 to get 25(7x - 3)/(x+3) = 10^2 = 100?

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