Question 245003
your equation is:


ln(5x-6) = 3


in general, ln(x) = y if and only if e^y = x


in your equation:


ln(5x-6) = 3 if and only if e^3 = 5x-6


solve for x to get:


x = (e^3+6)/5


use your calculator to solve.


e^3 = 20.08553692


that makes x = 26.08553692/5 = 5.217107385


substitute in your original equation to get:


ln(5x-6) = 3 becomes:


ln(5*5.217107385 - 6) = 3


use your calculator again to get:


3 = 3 confirming that your answer is good.


in my calculator, if i want the natural log of a number, i would use the ln key as follows:


i want ln(3)


i enter 3


i press the ln key.


i get my answer which is ln(3).


if i want e^3 i do the following:


i enter 3


i press the 2d key


i press the ln key


i get my answer which is e^3