SOLUTION: {{{log3 (3x-4)=5 }}} thanks in advance

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Question 199955: log3+%283x-4%29=5+ thanks in advance
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%283x-4%29%29=5 Start with the given equation.


3x-4=3%5E5 Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> x=b%5Ey


3x-4=243 Raise 3 to the 5th power to get 243.


3x=243%2B4 Add 4 to both sides.


3x=247 Combine like terms on the right side.


x=%28247%29%2F%283%29 Divide both sides by 3 to isolate x.


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Answer:

So the solution is x=247%2F3 which approximates to x=82.333.