Question

Find the value of X, when 2^(x+4) × 3^(x+1) = 288

Answer 1

Here's your answer.......

Answer 2

Answer:

x = 1

Step-by-step explanation:

Power of exponents( Formula used):

(I) a^m × b^m = (ab)^m

(II) a^m × a^n = a^(m+n)

or, 2^(x+4) × 3^(x+1) = 288

or, 2^x × 2⁴ × 3^x × 3¹ = 288

or, 2^x × 16 ^ 3^x × 3 = 288

or, 2^x × 3^x = 288/ 16× 3

or, (2 × 3)^x = 96/ 16

or, 6^x = 6

or, 6^x = 6¹ ......................(1)

As the base are same, thus the powers must be same .

or, x = 1 Ans

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