Question 201583
Since the bases of the logs are equal (they are both base "e"), this means that the arguments (the stuff inside) MUST be equal. So...



{{{4x=x+5}}} Set the arguments equal to one another.



{{{4x-x=5}}} Subtract {{{x}}} from both sides.



{{{3x=5}}} Combine like terms on the left side.



{{{x=(5)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=5/3}}} which approximates to {{{x=1.667}}}.