How can you find t from this equation? :

Question

anonymous · Answer

$$(2)^{t/3} = (3)^{t/2} + 10,000$$

ganeshie8 · Answer

graph it maybe ?

anonymous · Answer

can't we use any of the logs or something? :)

ganeshie8 · Answer

logs are of no use here,

you mean below right ?
$\large    (2)^{t/3} = (3)^{t/\color{red}{5}} + 10,000 $

anonymous · Answer

wait, haha, my brain is loading.. why's it 5? :) red

ganeshie8 · Answer

population A doubles in 3 hours
population B triples in 5 hours

you're stuck wid that problem eh ?

anonymous · Answer

no, in 2 hours

anonymous · Answer

no, i already got the answer for that problem. it's not 10,000 more. it's 10,000 times more.

ganeshie8 · Answer

oh !  then its real easy

ganeshie8 · Answer

$\large   (2)^{t/3} = (3)^{t/2} + 10,000 $

anonymous · Answer

typographical error at first. so the equation for my first problem was this: $$(2)^{t/3} = (3)^{t/2} * 10,000$$ and i got the answer from using natural log according to one person who replied

anonymous · Answer

but im just curious if the problems says, 10,000 more and not 10,000 times more.

ganeshie8 · Answer

yeah u can log and work it if its 10000 times

ganeshie8 · Answer

good, think about it :)
let me knw if u find something interesting =))

ganeshie8 · Answer

hey wait a sec,

$\large   (2)^{t/3} = (3)^{t/2} * 10,000$

anonymous · Answer

ahmmm, *brainstorming* haha. brainstorming with an empty brain. my brain is loading right now lol okay i'll tryyy

ganeshie8 · Answer

this is impossible right ?
left side is growing very slow. so it can never reach right side

ganeshie8 · Answer

empty brain is always good, cuz u can fill it wid nice stuff...  :)

anonymous · Answer

really? it's impossible? so it's my teacher's fault why students can't get it. waoh

ganeshie8 · Answer

population A doubles in 3 hours
population B triples in 2 hours

B is way faster than A. so A cannot catchup B

anonymous · Answer

maybe someday it will LOL

ganeshie8 · Answer

i remember, in ur other question, you have different numbers :-

population A doubles in 3 hours
population B triples in $\color{red}{5}$ hours

this is possible however.

anonymous · Answer

wait, goin' to check that

ganeshie8 · Answer

okie :o

anonymous · Answer

@ganeshie8 typographical error again! hahahaha im so sorry, it's 5 =)

anonymous · Answer

so sorry so sorry so sorry hahaha

ganeshie8 · Answer

np :) just making sure.... you dont cuss ur teacher when there is no fault from her lol

ganeshie8 · Answer

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anonymous · Answer

so it's

$$(2)^{t/3} = (3)^{t/5} +10,000$$

ganeshie8 · Answer

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