The expression log (x^6y^3/z^9) can be written in the form alog(x)+blog(y)+clog(z) where
a=
b=
c=

A = 6

B = 3

C = 9

Step-by-step explanation:

We start by using repeatedly the product rule of logarithms that converts the logarithm of a product of two factors into the addition of logarithms: :

At this point we use on each term of the expression we found above, the power rule of logarithms that states:

This gives as:

Therefore, the coefficients A, B, and C requested are:

A = 6

B = 3

C = 9

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560