You can put this solution on YOUR website! 2e^(x-5) = 1
divide both sides of the equation by 2 to get:
e^(x-5) = 1/2
take the natural log of both sides of the equation to get:
ln(e^(x-5) = ln(1/2)
since log(a^b) = b*log(a), this equation becomes:
(x-5)*ln(e) = ln(1/2)
divide both sides of this equation by ln(e) to get:
x-5 = ln(1/2)/ln(e)
since ln(e) = 1, this equation becomes:
x-5 = ln(1/2)
add 5 to both sides of this equation to get:
x = ln(1/2) + 5
use the LN function of your calculator to solve for x to get:
x = 4.306852819
replace x with 4.306852819 in your original equation and you'll find that the equation is true (1 = 1)
