SOLUTION: Hi. I need help with this LOG problem. I've figured out a) but I'm not sure what to do for b). Your help is appreciated. Thank you. On the planet Maximillian live Sprogs and Gra

Question 712352: Hi. I need help with this LOG problem. I've figured out a) but I'm not sure what to do for b). Your help is appreciated. Thank you.
On the planet Maximillian live Sprogs and Graks. Initially there were 1600 sprogs and 200 Graks. The population of Sprogs doubles every 14 years and that of Graks doubles every 7 years.
a) How many Graks were there after 3 1/2 years?
Answer: 282.842712475 Graks
b) When are there as many Sprogs as Graks?
____________ years later
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = population of Sprogs
Let = population of Groks
Let = number of years after initial count
For Sprogs, the formula is:

For Graks,

-------------------------
(a)
After years,

( you can add the extra decimals )
-------------------------
When is ?

Multiply both sides by

In 42 years, their populations will be the same
check:

OK

RELATED QUESTIONS
hi i was asked to find: 1. the nth term for this sequence 1/2,1/4,1/6,1/8, 2.if its... (answered by MathLover1,MathGeek87)

Hi I am stuck on this one which has me completely bamboozled. Your assistance would be... (answered by solver91311,stanbon)

I'm using a book called No-Nonsense Algebra by Richard Fisher. I've run into a problem... (answered by MathLover1,math_helper)

Hi I am not sure if I am in the right section or not but this is my problem: The... (answered by rapaljer)

Hi there, I really need some help on this problem. I have some of it worked out, but I'm... (answered by josgarithmetic,stanbon)

I'm not sure if this is in the correct section, but I really need help as soon as... (answered by reviewermath)

I could really use some help answering the following question. I have tried to figure it (answered by stanbon)

Hi I am trying to figure out how to find the equation of a circle if the center is (4,4)... (answered by lwsshak3)

hi I need some help please the problem states to solve 4 log( 2x + 1 ) = 12. I think I... (answered by Alan3354)