College Algebra
posted by Linda on .
Why is t= ln(2)/.04 the same
as t= 25ln(2)?
Please explain it step by step. What rule do you use or how do you change the .04 to the 25?

Linda,
Divide 1 by 0.04 using long division.
You will get 25. 
think of it as
ln(2) * (1/.4)
and 1/.04= 25
(just use your calculator to find 1/.04 or
1/.04 = 100/4 (multiply top and bottom by 100)
= 25
so ln(2)/.04 = ln(2) * 25
= 25 ln(2)
(I believe Damon answered this same question for you before) 
Reiny thank you because I didn't answer Damon's I knew it had to have something to do with 25 being 1/4 of 100 but your explanation of thinking of it as * 1/4 made sense to me so thank you

1/0.04 = 1/(1/25)= 25
1 divided by a number is called the reciprocal of the number.
The reciprocal of a fraction is the upsidedown fraction.