Question

solve x and y in 2^x ×3^y =72​

Answer 1

Answer:

x = 3 , y = 2

Step-by-step explanation:

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

$\bf\implies 2^x \times 3^y = 72$

Now write 72 as prime factors of 2 and 3 ,

$\bf\implies 2^x \times 3^y = 2^3 \times 3^2$

On comparing ,

$\bf\implies x = 3$

$\bf\implies y = 2$