• Nov 22nd 2012, 10:39 PM
skg94
1. A mammal's resting metabloic rate (R), in kilocalories per day, is related to its mass, m, in kilograms, by the equation
logR=log73.3 +0.75 log m. Predict the mass of a wolf with a resting metabloic rate of 1050 Kcal/day

2. Mahal invests $500 in an account with an annual percentage rate of 5% compounded quartely. How long will it take for Mahal's single investment to double in value? b) Mahal invests$500 at the end of every 3 months in an accountant with an annual percentage rate of 4.8% compounded quarterly. How long will it take for Mahal's investment to be worth 100,000? Use FV= R[(1+i)^n-1] / i
where FV= future value, n is the number of equal periodic payments of R dollars, and i is the interest rate per compounding period expressed as a decimal

• Nov 22nd 2012, 10:49 PM
MarkFL
1.) You want to solve the equation:

$\log(R)=\log(73.3)+0.75\log(m)$

for $m$.

Have you any thoughts on what steps you should take to do this?
• Nov 22nd 2012, 10:51 PM
skg94
i tried subtracting log(73.3) then divide by .75 didnt, then second log didnt work or maybe i made a calculator error if that is correct
• Nov 22nd 2012, 10:59 PM
MarkFL
Yes, those are good first steps which gives you:

$\log(m)=\frac{4}{3}\left(\log(R)-\log(73.3) \right)$

Now, is there a property of logs that will allow us to combine the two log terms on the right?
• Nov 22nd 2012, 11:37 PM
skg94
(4/3) (logR / log(73.3)) = log m ?
• Nov 22nd 2012, 11:42 PM
skg94
$\log_a(b)-\log_a(c)=\log_a\left(\frac{b}{c} \right)$