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

(a) Find the lim x→0 (b) Find the interval on which f is increasing. (c) Find the point at witch f attains its maximum value

Let log_b2=A and log_b3=C. Write the expression log_b√(2/27) in terms of A and C

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