How do you solve #log_3 x – 1 = 3#?

1 Answer
May 8, 2015

Ans: #28#

I think that it is #log_3(x-1)=3#
So you can write:
#3^(log_3(x-1))=3^3#
cancelling the #3# and the #log# on the left you get:
#x-1=27#
#x=28#

The question could also be #log_3(x)-1=3# (with only #x# in the argument although I doubt it) so you get:
#log_3(x)=3+1#
#log_3(x)=4# in the same way as before:
#3^(log_3(x))=3^4#
#x=81#