Solve for x: `ln(2x-1) = 4`

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hala718 eNotes educator | Certified Educator

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Given the equation:

`ln(2x-1) = 4`

`` First we will rewrite into the exponent form.

" if `ln a = b ==gt a = e^b`  "

`==gt (2x-1)= e^4`

`` Now we will solve for x.

`==gt 2x = e^4 +1`

`` `==gt x = (e^4+1)/2 ~~ 27.8`

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txmedteach eNotes educator | Certified Educator

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To solve this question, we need to remember a certain fact about functions:

`f^-1(f(x)) = x`

This relation means that when we take the inverse of a function, we simply get our original input back out.

This relation is especially relevant for us because (as you can see...

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