Question

2^4-x/16^5=32^6

 

Answer 1

`#3107.101107`

\(\dfrac{2^{4-x}}{16^5}=32^6\\ \dfrac{2^{4-x}}{\left(2^4\right)^5}=\left(2^5\right)^6\\ \dfrac{2^4\div2^x}{2^{20}}=2^{30}\\ 2^4\div2^x=2^{30}\cdot2^{20}\\ 2^4\div2^x=2^{50}\\ 2^x=2^4\div2^{50}\\ 2^x=2^{-46}\\ x=-46\)

Answer 2

\(\dfrac{2^{4-x}}{16^5}\) = 32⁶ 

2^4 - \(x\) = (2⁵)⁶.(2⁴)⁵  

2^{4 - \(x\)} = 2³⁰.2²⁰

2^4 - \(x\) = 2⁵⁰

4 - \(x\) = 50

    \(x\)  = 4 - 50 

    \(x\) = - 46

Vậy \(x\) = - 46