Posted by **Linda** on Friday, December 21, 2012 at 2:34pm.

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?

- College Algebra -
**Damon**, Friday, December 21, 2012 at 2:56pm
Linda,

Divide 1 by 0.04 using long division.

You will get 25.

- College Algebra -
**Reiny**, Friday, December 21, 2012 at 2:58pm
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)

- College Algebra -
**Linda**, Friday, December 21, 2012 at 3:21pm
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

- College Algebra -
**drwls**, Friday, December 21, 2012 at 7:13pm
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 upside-down fraction.

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