Question

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Answer 1

Step-by-step explanation:

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2p + 2p + 1 = 24

4p = 23

p = 23/4

Answer 2

Answer:

p = 3

Step-by-step explanation:

2ᵖ + 2ᵖ ⁺ ¹ = 24

Using laws of exponents a^m × a^n = a^( m + n)

2ᵖ + 2ᵖ × 2¹ = 24

2ᵖ + 2ᵖ × 2 = 24

Taking 2ᵖ common

2ᵖ( 1 + 2 ) = 24

2ᵖ( 3 ) = 24

2ᵖ = 24/3

2ᵖ = 8

2ᵖ = 2³

If bases are equal powers also will be equal

p = 3

Therefore the value of p is 3.