Question

If27×32 =3^x×2^y find x& y

Answer 1

Answer:

Step-by-step explanation:

Given that: 27 × 32 = 3^x × 2^y

We know that,

⇒ 27 = 3³ and 32 = 2⁵

Hence On substituting the values we get,

⇒ 3³ × 2⁵ = 3^x × 2^y

Comparing both sides we get,

⇒ 3^x = 3³

Therefore x = 3.

Similarly, 2^y = 2⁵

Therefore y = 5.

Hence these are the required values.

Thanks !!

Answer 2

given 27×32 =3^x×2^y

27= 3×3×3 = 3^3
32=2×2×2×2×2 = 2^5

therefore x= 3 and y = 5


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