Math
posted by Kevin on .
solve log(7x3)+2log(5)=2+log(x+3)
I've attempted to do this question and I ended up with log(73)+log(5^2)log(x+3)=2 but I don't what to do next or whether I did something wrong.

write is as
log((7x3)(25)/(x+3) = 2
25(7x  3)/(x+3) = 10^2 = 100
divide by 25
(7x3)(x+3) = 4
crossmultiply
7x3 = 4x+12
3x = 15
x = 5
check:
LS = log 32 + log 25  log 8
= log(32(25)/8)
= log 100
= 2
= RS 
Just wondering what did you do in this log((7x3)(25)/(x+3) = 2 to get 25(7x  3)/(x+3) = 10^2 = 100?