Question

find the value of x 4^3× . 4^×/16 =4096

Answer 1

Answer:48

Step-by-step explanation:

4^3 × 4^x/16 = 4096

4^(3+x/16) =2^12

4^((48+x)/16) =4^6

As bases are same we can compare the powers now.

(48+x)/16=6

48+x=96

x=96-48

x=48

PROOF

4^3 × 4^×/16 =4096

4^3 × 4^48/16 =4096

4^3 × 4^3=4096

4^6=4^6

LHS=RHS

HENCE PROVED