Question

Solve x if 2ˣ⁺³ = 4ˣ⁻¹​

Answer 1

Answer:

2^x+3=2^2(x-1)

x+3=2(x-1)

x+3=2x-2

2x-x=2-3

x=-1

Answer 2

Given :-

• 2ˣ⁺³ = 4ˣ⁻¹

To find :-

• value of x

Solution :-

→ 2ˣ⁺³ = 4ˣ⁻¹

→ 2ˣ⁺³ = 2²(ˣ⁻¹)

→ x + 3 = 2x - 2

→ x - 2x = 3 - 2

→ - x = 1

→ x = -1

Hence,

• Value of x is -1

Extra Information

• a⁰ = 1
• a^m + a^n = a^m+n
• a^m ÷ a^n = a^m-n
• (a × b)^m = a^m × b^m
• (a/b)^m = a^m/b^m