I’m thinking of two numbers, 12 and another number. 12 and my other number have a greatest common factor of 6 and their least common multiple is 36. what’s the other number i’m thinking of ?

The product of two numbers and the product of their greatest common factor and least common multiple are always equal.

Let the other number = X.

Greatest common factor is 6

Least common multiple is 36

We now have 6 * 36 = 12 * x

Simplify:

216 = 12x

Divide both sides by 12:

x = 216 / 12

x = 18

The other number is 18.

the correct answer is d

hope this

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752