Question

Find the value of x, 2⁷ˣ ÷ 2²ˣ ₌ ⁵√2¹⁵
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Answer 1

Answer:

x = 3/5      

Step-by-step explanation:

given,   $2^{7x}$ ÷ $2^{2x}$  = $\sqrt[5]{2^{15}}$

        =>  $2^{(7x - 2x)}$  = $( 2^{15} ) ^{\frac{1}{5} }$

        =>  $2^{5x}$  = $2^{\frac{15}{5}}$  = $2^{3}$

        =>    5x = 3

        =>       x = 3/5