Question

Solve x and y in 2^x ×3^y =72​

Answer 1

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`