Grant is rolling a standard six-sided number die 8 times. how many outcomes are possible?

The first roll has 6 possible outcomes.

For each of those, the second roll has 6 possible outcomes, so there are 6×6 = 6² outcomes for two rolls.

For each of those, the third roll has 6 possible outcomes, so there are 36×6 = 6³ outcomes for three rolls.

The pattern continues, so for 8 rolls, there are 6⁸ = 1,679,616 possible outcomes.

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