Question

2^5x+1-2^5x=32

Answer 1

2⁵ˣ⁺¹ - 2⁵ˣ = 32

2⁵ˣ.(2 - 1) = 2⁵

2⁵ˣ = 2⁵

5x = 5

x = 5 : 5

x = 1

Answer 2

\(2^{5x+1}-2^{5x}=32\)

\(\Rightarrow2^{5x+1}-2^{5x}=2^5\)

\(\Rightarrow2^{5x}\cdot2-2^{5x}\cdot1=2^5\)

\(\Rightarrow2^{5x}\cdot\left(2-1\right)=2^5\)

\(\Rightarrow2^{5x}\cdot1=2^5\)

\(\Rightarrow2^{5x}=2^5\)

\(\Rightarrow5x=5\)

\(\Rightarrow x=\dfrac{5}{5}\)

\(\Rightarrow x=1\)

Answer 3

25x+1−25x=3225�+1−25�=32

⇒25x+1−25x=25⇒25�+1−25�=25

⇒25x⋅2−25x⋅1=25⇒25�⋅2−25�⋅1=25

⇒25x⋅(2−1)=25⇒25�⋅(2−1)=25

⇒25x⋅1=25⇒25�⋅1=25

⇒25x=25⇒25�=25

Answer 4

2⁵ˣ⁺¹ - 2⁵ˣ = 32

2⁵ˣ.(2 - 1) = 2⁵

2⁵ˣ = 2⁵

5x = 5

x = 5 : 5

x = 1