College Algebra
posted by Marlon
I am having a difficult time with this question. Any help whatsoever will be really helpful as I have been pulling an all nighter for my test at 4pm.
The question reads as follows:
Suppose that y=[2log(100x)]/0.29 can be used to calculate the number of years y for x percent of a population of 928 webfooted sparrows to die. Approximate the percentage (to the nearest whole percent) of webfooted sparrows that died after 5 years.
The answer is supposed to be 96% but I am just not getting it. I have a feeling its not hard but I'm missing something crucial.
Thanks for all the help!

bobpursley
.29*5=2log(100x)
log(100x)=.55
100x=3.55
x=96.4 
Marlon
=/
I still do not understand. This is my setup.
5=[2log(100x)]/.29
1.45 = 2log(100x)
.55 = log(100x)
.55= log(100x)
Now I am frozen there... If i take the log of both sides I do have 100x on the right but obtain .2596 for the left. The problem would equal 100.2596 and not 96.4.
In your setup, I am confused as to where the 100x=3.55 came from.
Thank you so much, you don't understand how helpful you guys are for taking the time to help us. 
bobpursley
1.45=2log(100x)
.55=log(100x)
.55=log(100x)
take the antilog of each side
3.458133892=100x
You are taking the LOG of both sides. You want the antilog. 
Marlon
Thank you so much!!! I got it!
Respond to this Question
Similar Questions

math
write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A  log B 3 log A^n = n log A use these … 
calculus
Differentiate y=lnx You ought to have this memorized. y'=1/x for y= ln x dy/dx = 1/x This is the most basic and fundamental of log derivatives. If you are studying Calculus, and the topic is logs, I fail to understand why you asked … 
PreCalc
Hi, I need help writing log(x^29)log(x^2+7x+12) as a single logarithm. Thankyou! since there is a subtraction sign in between that means you divide the two terms...so it would be log(x^29/x^2+7x+12) you can go further and factor … 
IQ Test ?
A group of people took a new IQ test twice. Nearly all of those who did well the first time they took it also did well the second time. Nearly all those who did poorly the first time did poorly again the second time. Therefore, this … 
math
Suppose that a college admissions office needs to compare scores of students who take the Scholastic Aptitude test(SAT) wit those who take the american college test (ACT). Suppose that among the college's applicants who take the SAT, … 
Regent (Math)
I know i am not suppose to ask this kind of question but I thought the teachers here can help me. The question is : Retaking the regent: Good or bad thing? 
Precalculus
PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate without a calculator. Give exact answers: a) log(log(10)) = ? 
advanced functions
I need help figuring this question out please :) log2=log(x+5)1 I have been studying for my test and this is a question i got stuck on. 
college algebra
Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4  log x^3 4 log (x+3)  5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please. 
Statistics
1. For the following research question, specify the parameter and give the null and alternative hypotheses. "Is there a difference in the proportions of male and female college students who smoke cigarettes?