Ineed on a mathematics question. i need an explanation. solve 2 log x = log 64. x = 8 x = ±8 x = 32 x = 128 why is it not b and rather a? i agree with 8, but i also think that -8 works.

To solve this problem you must apply the proccedure shown below:

1- To solve the logarithm expression , you must apply the following properties:

2-Keeping this on mind, you have:

3. Now, solve for :

4. If you susbtitute into the expression shown in the problem, you will see that it is invalid.

Therefore. the answer is: .

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