What is the distributive property of 1. -4(-8× -8)
2. -6(7 + x)
3. -3(× -5)
4. -5(10× + 1)
5. (1 +2v) • 5
6. -8(1 - 5x)

Step-by-step explanation:

1. -4(-8× (-8))

-8 ×(-8) = 64

-4 × 64 = -256

2. -6(7 + x)

-6 · 7 - 6 · x

-42 - 6x

3. -3(x -5)

-3 · x  -3 · -5

-3x + 15

4. -5(10x + 1)

-5 · 10x  -5 · 1

-50x - 5

5. (1 +2v) • 5

5(1 + 2v)

5 · 1  5 · 2v

5 + 10v

6. -8(1 - 5x)

-8 · 1  -8 · -5x

-8 + 40x

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