Question

if 2^5x÷2^x=16,find x.

Answer 1

✌️✌️ hey mate,

your answer is in the attachment..

Answer 2

Answer : x = 1

Solution :

Given that :

${2}^{5x} \div {2}^{x} = 16 \\ \\ = > {2}^{5x} \div {2}^{x} = {2}^{4} \\ \\ = > {2}^{5x - x} = {2}^{4} \\ \\ = > {2}^{4x} = {2}^{4} \\ \\ = > 4x = 4 \\ \\ = > x = 1$

Because when bases are equal then in division powers will be subtracted.

So, the value of x will be 1