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

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

(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

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)

2log base 4 9 - log base 2 3

y = log10[sin(x-3) + √(16- x2)]

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.

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...

I have to find x! Can you help me lg= logarithm

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...

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

given that loga^2=0.693 , loga^6=1.792 , loga^5=1.609 find loga^60

Having trouble solving equation

Its equivalent logarithmic form is logbx=y b = x = y =

15^9x=13^-x-7 write the exact answer using base -10 logarithm