Answer:
x = 3 , y = 2
Step-by-step explanation:
We need to solvd the the given exponential equation , the equation is,
[tex]\bf\implies 2^x \times 3^y = 72 [/tex]
Now write 72 as prime factors of 2 and 3 ,
[tex]\bf\implies 2^x \times 3^y = 2^3 \times 3^2 [/tex]
On comparing ,
[tex]\bf\implies x = 3 \\[/tex]
[tex]\bf\implies y = 2 [/tex]
