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

log√x / y3 3√z

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

log4 x + log4 2 = 3

log35x3/y

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

2log base 4 9 - log base 2 3

(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 log x - 4log y + 1/2 log z

Log824

log2 x + log2 (x-2) = 3

3 log x - 4log y + 1/2 log z

1/2 log4 x+3 log4 y

3^(2log base 3 5)

y = log10[sin(x-3) + √(16- x2)]

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...

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

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