Question

find the value of x for which 2^x÷2^-4=4^5​

Answer 1

Answer:

x= 6 is the ans

Step-by-step explanation:

2^x

${2}^{x } \div {2}^{ - 4} = {4}^{5} \\ {2}^{x} \div {2}^{ - 4} = ({2})^{2 \times 5} \\ x - ( - 4) = 5 \times 2 \\ x + 4 = 10 \\ x = 10 - 4 \\ x = 6$