SOLUTION: ln(5x-6)=3 i cant figure out this problem for the life of me. i have a graphing calc. can you help

Question 245003: ln(5x-6)=3
i cant figure out this problem for the life of me. i have a graphing calc. can you help
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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

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