Question

Số nguyên n thỏa mãn \(\frac{1}{2}\).2ⁿ+4.2ⁿ=9.2⁵ là n=.......

Answer 1

pn ay lừa pn đó pn do ko trả loi dau 

Answer 2

\(\frac{1}{2}\cdot2^n+4.2^n=9.2^5\)

\(2^n\left(\frac{1}{2}+4\right)=9.32\)

\(2^n\left(\frac{1}{2}+\frac{8}{2}\right)=288\)

\(2^n\cdot\frac{9}{2}=288\)

\(2^n=288:\frac{9}{2}\)

\(2^n=288\cdot\frac{2}{9}\)

\(2^n=64\)

\(2^n=2^6\)

=> n = 6

vậy n = 6