Question

13. Find the value the value x for which 2^x÷2^4=4^5​

Answer 1

Answer:

${2}^{x} \div {2}^{4} = {4}^{5} \\ {2}^{x - 4} = {2}^{2 \times 5} \\ base \: are \: same \: \\ compare \: exponent \\ x - 4 = 2 \times 5 \\ x - 4 = 10 \\ x = 10 + 4 \\ x = 14$