SOLUTION: what is this answer 4+log[9](3x-7)=6

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Question 400763: what is this answer 4+log[9](3x-7)=6
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
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4%2Blog%289%2C%283x-7%29%29=6
log%289%2C%283x-7%29%29=6-4
log%289%2C%283x-7%29%29=2
FORMULA log%28b%2Ca%29=c a=b%5Ec
%283x-7%29=9%5E2
3x-7=81
3x=81%2B7
3x=88
x=88/3
x=29 1/3- answer
..
Check answer
4%2Blog%289%2C%283%2A%2888%2F3%29-7%29%29=6
4%2Blog%289%2C%2888-7%29%29=6
4%2B2=6
6=6 correct