step-by-step explanation:
107 units
37/3
step 1: simplify both sides of the equation.
7x+8(x+
1
4
)=3(6x−9)−8
7x+(8)(x)+(8)(
)=(3)(6x)+(3)(−9)+−8(distribute)
7x+8x+2=18x+−27+−8
(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)
15x+2=18x+−35
15x+2=18x−35
tep 2: subtract 18x from both sides.
15x+2−18x=18x−35−18x
−3x+2=−35
step 3: subtract 2 from both sides.
−3x+2−2=−35−2
−3x=−37
step 4: divide both sides by -3.
−3x
−3
=
−37
x=
37
3
x =-.20752
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