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Solve x and y in 2^x ×3^y =72​

User Amy
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1 Answer

3 votes

Answer:

x = 3 , y = 2

Explanation:

We need to solvd the the given exponential equation , the equation is,


\bf\implies 2^x * 3^y = 72

Now write 72 as prime factors of 2 and 3 ,


\bf\implies 2^x * 3^y = 2^3 * 3^2

On comparing ,


\bf\implies x = 3 \\


\bf\implies y = 2

User Jolvera
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