Question

MEDAL GIVEN if you can solve problem: if log(base 3)x^2 - log(base 3) x=2 what is X?

Answer 1

Apply power rule of logarithms

Answer 2

i applied the rule. still can't figure it out.

Answer 3

Actually combine the two logs using the quotient rule.

Answer 4

What does that give you?

Answer 5

i did the power rule and then combined (divided them) so i have 2 log base 3 x over log base 3 x =2

Answer 6

log (base 3) of x^2 - log (base 3) of x =2
2 log (base 3) of x - log (base 3) of x =2
log (base 3) of x = 2
After this just rearrange from log form to exponential form.

Answer 7

no you can't do that...if you bring the 2 out front then you can't combine the two logs...leave the power on there and just combine the logs ... what do you get?

Answer 8

My bad what cloudy did is good too

Answer 9

thank youuuuuuuuu

Answer 10

With the other guy's method:
log (base 3) x^2 - log (base 3) x = 2
log (base 3) ((x^2)/x) =2