Question

the value xfor which(7/12)power -4×(7/12)power 3x=(7/12)Power5

Answer 1

(7/12)^(-4)×(7/12)^(3x) = (7/12)^(5)

(7/12)^(-4+3x) = (7/12)^(5)because If a^(m)×a^(n) = a^(m+n)

As bases are equal powers must be equal
Therefore
-4+3x = 5
3x = 5+4
3x = 9
X=9/3
X=3