Select all expressions that are equivalent to 3 x 5 − 6 x 4 y + 3 x 3 y 2 . A. 3 x 3 ( x − y ) 2 B. 3 x 3 ( x 2 − 2 x y + y 2 ) C. 3 x 3 ( x + y ) 2 D. 3 x 3 ( x − y ) ( x + y ) E. 3 x 3 ( x − y ) ( x − y )

B

Step-by-step explanation:

Factorizing 3x^5−6x4y+3x^2y^2

=

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