Can someone please help me out?? I'm starting to confuse myself.
log(x-1) = 2 - log (x+1)
okay so heres what i did:
added log (x+1) to the other side, hence log (x-1) + log (x+1) = 2
then i used product rule . . .log (x-1)(x+1) = 2
now i end up getting (x+1)(x-1) = 100 after getting rid of the log with base 10, and 10^2.
x^2 = 101
idk this just seems wrong and it is probably, so if anyone can help me out i'd appreciate that a lot. thanks.
ooops, im very sorry, i thought log =: log_e
i didnt read
[quote]
after getting rid of the log with base 10
[quote]
your solution x^2 = 101 is correct
what i meant was
log(x-1) = 2 - log (x+1)
log(x-1) + log (x+1) = 2
log([x-1][x+1]) = 2
log(x^2 - 1) = 2
//log_b (a) = ln(a) / ln(b)
ln(x^2 - 1)/ln(10) = 2
ln(x^2-1) = 2ln(10)
//e^()
x^2-1 = e^(2ln(10))
Sorry, my mistake :-(