Please Help: 100 = (120)[2^(-t/5760)]

[crissyc223]

For homework I have to put this problem on a poster board to show in front of the class and I have NO clue on what to do...

100=(120)[2^(-t/5760)]

PLEEASSEEE!!!!

 

[galactus]

I am going out on a limb here and assuming you want to solve for t.

Divide through by 120:

\(\displaystyle \L\\\frac{5}{6}=2^{\frac{-t}{5760}}\)

natural log of both sides:

\(\displaystyle \L\\ln(\frac{5}{6})=ln(2^{\frac{-t}{5760}})\)

property of logs:

\(\displaystyle \L\\ln(\frac{5}{6})=\frac{-t}{5760}ln(2)\)

Now, can you finish and solve for t?.

 

[crissyc223]

ohh i got it!!!


THANK YOU SOOO MUCH!!!