Algebra Help!

**l flipboi l** · January 13th 2010, 05:07 PM

Hello,

Can you please help me figure out how to solve for t?

5000 = 100*2^(t/3)

thanks

**artvandalay11** · January 13th 2010, 05:13 PM

do you know/remember how to do logarithms? (logs)

**l flipboi l** · January 13th 2010, 06:25 PM

Originally Posted by artvandalay11

do you know/remember how to do logarithms? (logs)

I had a feeling that's where its going to end up at, I get to about here then i'm stuck...

4900 = 2^(t/3)

what's the next step?

**artvandalay11** · January 13th 2010, 06:35 PM

you subtracted 100, but you have to divide by it

after that, take the log of both sides... then you can use a log rule to "Bring down" the exponenet.... do you know how to do this

**l flipboi l** · January 13th 2010, 07:24 PM

Originally Posted by artvandalay11

you subtracted 100, but you have to divide by it

after that, take the log of both sides... then you can use a log rule to "Bring down" the exponenet.... do you know how to do this

oops, sorry for that silly mistake thanks..

500=2^(t/3)

i have no idea how to do the next step =/

**artvandalay11** · January 13th 2010, 07:29 PM

Originally Posted by l flipboi l

oops, sorry for that silly mistake thanks..

500=2^(t/3)

i have no idea how to do the next step =/

That 500 should be a 50 as pickslides notes. 5000 divided by 100 is 50 not 500

We will take the log of both sides. There are special log rules that you need to remember. Logs were "invented" for dealing with these exact kinds of problems

$\log 50=\log 2^{\frac{t}{3}}$

$\log 50=\frac{t}{3} \log 2$

One of those important log rules is that you can bring down the exponent

now can you solve?

**pickslides** · January 13th 2010, 07:34 PM

Originally Posted by artvandalay11

$\log 500=\log 2^{\frac{t}{3}}$

$\log 500=\frac{t}{3} \log 2$

You mean

$\log 50=\log 2^{\frac{t}{3}}$

$\log 50=\frac{t}{3} \log 2$

**artvandalay11** · January 13th 2010, 07:37 PM

yes I do, sorry I just quoted and assumed the quote was correct, 5000 divided by 100 is 50 not 500

**l flipboi l** · January 13th 2010, 07:58 PM

Originally Posted by artvandalay11

yes I do, sorry I just quoted and assumed the quote was correct, 5000 divided by 100 is 50 not 500

hahah geez =/ sorry

**l flipboi l** · January 13th 2010, 08:54 PM

Originally Posted by pickslides

You mean

$\log 50=\log 2^{\frac{t}{3}}$

$\log 50=\frac{t}{3} \log 2$

is 16.93 the correct answer?

how would you isolate the t from there.

**pickslides** · January 13th 2010, 10:01 PM

Originally Posted by l flipboi l

is 16.93 the correct answer?

how would you isolate the t from there.

using some very basic algebra

$\log 50=\frac{t}{3} \log 2$

$\frac{\log 50}{\log 2}=\frac{t}{3}$

$3\frac{\log 50}{\log 2}=t$

$t= 3\frac{\log 50}{\log 2}$

The rest is a job for Mr Calculator..

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