Question

find the value of x, if 2^5x÷2^x=5√2^20​

Answer 1

Answer:

Correct answer = 1

Step-by-step explanation:

▪︎Given eq. [2^5x ÷ 2^x = 5√2^20]

▪︎Thus, [2^5x ÷ 2^x = 2^4x] 》Law of exponent

▪︎and; [5√2^20 = 2^4]》as its 5 root 2^20 then 2 will come out of the root 4 times.

▪︎Putting values in eq. [2^4x = 2^4]

▪︎As we know if base is common and power is different then the base will be removed.

▪︎As per this law of exponent ; [4x = 4]

▪︎Thus, [x=1]