-17=5+9(k+4) solve for x

k= -58/9

Step-by-step explanation:

−17=5+9(k+4)

Simplify both sides of the equation.

−17=5+9(k+4)

−17=5+(9)(k)+(9)(4)(Distribute)

−17=5+9k+36

−17=(9k)+(5+36)(Combine Like Terms)

−17=9k+41

Flip it^

9k+41=−17

Subtract 41 from both sides

9k+41−41=−17−41

9k=−58

Divide both sides by 9

9k/9=−58 /9

k= -58/9

Hope it's right!

$9.41

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