Question 199955
{{{log(3,(3x-4))=5}}} Start with the given equation.



{{{3x-4=3^5}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{x=b^y}}}



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



{{{3x=243+4}}} Add {{{4}}} to both sides.



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



{{{x=(247)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=247/3}}} which approximates to {{{x=82.333}}}.