Question

If$2^x\times{4^{12}}\times{8^3}=16^{11}$, then find the value of x is:

• A. 14
• B. 12
• C. 11
• D. 13

Answer 1

Answer:

C. 11

$2^x\times{4^{12}}\times{8^3}=16^{11}$

$2^x\times{(2^2)}^{12}\times{(2^3)}^3=(2^4)^{11}$

$2^x\times{(2)^{24}}\times{(2)^9}=(2)^{44}$

Equating powers,

$x+24+9=44$

$x+33=44$

$x=44-33=11$