Solve the equation 1/4 (x+2)+5=-x

x = 6

Step-by-step explanation:

1/4 (x-2) + 5 = x

1/4 (x-2) = x - 5

x - 2 = 4(x-5)

x-2 = 4*x + 4*-5

x-2 = 4x - 20

x - 4x = 2 - 20

-3x = -18

x = -18/-3

x = 6

Check:

1/4(6-2) + 5 = 6

1/4(4) + 5 = 6

1 + 5 = 6

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