Question

ln(2x-3)=8

Answer 1

is it ln or log

Answer 2

?????

Answer 3

ln(2x-3)=8
^

Answer 4

log(2 x-3) = 8
Cancel logarithms by taking exp of both sides:
2 x-3 = e^8
Add 3 to both sides:
2 x = 3+e^8
Divide both sides by 2:
x = 1/2 (3+e^8)
Now test that this solution is appropriate by substitution into the original equation:
Check the solution x = 1/2 (3+e^8):
log(2 x-3) => log(-3+2/2 (3+e^8)) = 8
So the solution is correct.
Thus, the solution is:
x = 1/2 (3+e^8)