An endangered frog species has a population of 10 000. Biologist estimate that the stock is decreasing at 3% per year. At this rate, approximately how many years will it take before only 80% of the...

An endangered frog species has a population of 10 000. Biologist estimate that the stock is decreasing at 3% per year. At this rate, approximately how many years will it take before only 80% of the...

If the half-life of sodium-24 is 3.1 hours, then the time it takes sodium-24 to decay from 148 grams to 5.2 grams is?

A strain of bacteria grows exponentially. Immediately after 2 hours there were 1000 bacteria, and immediately after three hours there were 5000 bacteria. If no bacteria die, then the time it takes...

You can't distribute the natural log? I don't understand.

Consider the equation log((x + 3)(x−8))+ log(x+3/x-8) = 2. (a) Explain why x = 7 is not a solution to this equation. (b) By combining the logarithms,...

This problem involves the Rule of 70, which gives quick estimates of the doubling time of an exponentially growing quantity. If r% is the annual growth rate of the quantity, then the Rule of 70 says Doubling...

Given that log_2(3) • log_3(4) • log_4(5)..... log_n-1(n) • log_n(n+1) = 10, find the value of n. NEED ANSWER ASAP

In a maths lecture recently, my tutor wrote that log base a of b multiplied by log base b of c was equal to log base a of c, apparently the b's in the equation cancel, however, I can't see any reason...

3^(2log base 3 5)

y = log10[sin(x-3) + √(16- x2)]

2log base 4 9 - log base 2 3

Rewrite in terms of logax, logay, and logaz, using properties of logarithms: In(√x2/y3)

Precalculus. Asked to evaluate each logarithm. Exact answers only. No decimal approximations.

Terminology question: I find the switching of x and y a contradiction, since b^x=y, or 10^x=y, or e^x=y or f(x). Why b^y=x when the function is the base to an exponent equals the y value or f(x)? Thanks, Richard...

When a liquid is placed into a refrigerator, its temperature T°C at a time t minutes is given by the formula T=T*10^-kt The temperature is initially 100°C and drops to 40°C in 5 minutes. Find...

Not necessarily the answer, just confused as to what the question is asking me! So if possible steps to arrive at the answer would be much appreciated! Thank you! rewritten: simplify...

Please explain the steps on how to figure this problem out.

Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b. ln 10 ln7√20

in 2000, a company had 1145 stores nationwide. By 2002, this total had grown to 1535. If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016 Exponential...

Suppose a retired professor who lives next door offers to pay you to work for him for the next 30 days. He says he will pay you $500 per day (option 1), or if you would like, he will pay you $0.01...