Gabriel is 16 years older than sam. in 4 years, gabriel will be twice as old as sam. what is gabriel's age now?

        Today                               In 4 years

Gabriel (G): S + 16                   (S + 16) + 4  = S + 20

Sam (S): S                                 (S) + 4 = S + 4

S + 20 = 2(S + 4)

S + 20 = 2S + 8

     20 = 2S + 8

      12 = 2S

      6 = S

Gabriel (G): S + 16  = (6) + 16  = 22

Gabriel=22 yrs

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step-by-step explanation:

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