Question

if 2^4×2^5=2^(x+1) then value of x=......​

Answer 1

Answer:

2^4×2^5 = 2^9

2^9 = 2^(x+1)

when bases are equal exponents must be equal.

9= x+1

x=8

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Answer 2

Answer:

x = 8

Step-by-step explanation:

2^4 × 2^5 = 2^(x + 1)

= 2^4 × 2^5 = 2^(4 + 5).........[bcoz a^m x a^n = a^(m+n)]

= 2^9 = 2^(x + 1)

Now as the base is equal we need to equate the powers

∴ 9 = x + 1

  9 - 1 = x

  8 = x