SOLUTION: How do I solve this? I think it's with solving by logs but I can't get the right answer. 6(2^(3x-1))-7=9

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I solve this? I think it's with solving by logs but I can't get the right answer. 6(2^(3x-1))-7=9      Log On


   

Question 556489: How do I solve this? I think it's with solving by logs but I can't get the right answer.
6(2^(3x-1))-7=9
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+6%2A%28+2%5E%283x+-+1%29%29+-+7+=+9+
+6%2A%28+2%5E%283x+-+1%29%29+=+16+
+2%5E%283x+-+1%29+=+16%2F6+
+2%5E%283x+-+1%29+=+8%2F3+
On my calculator, I found
+log%282%2C3%29+=+1.585+
I can now say
+2%5E1.585+=+3+
and
+2%5E%283x+-+1%29+=+2%5E3+%2F+2%5E1.585+
+2%5E%283x+-+1%29+=+2%5E1.415+
+3x+-+1+=+1.415+
+3x+=+2.415+
+x+=+.805+