Question

If 3 to the power of x-1=9 and 4 to the power of y+2=64,find the value of x/y

Answer 1

Answer:

3

Step-by-step explanation:

3 raised to the power x-1 equals to 9..that is 3 raised to the power 2.

as bases will be same, powers will be equated and x-1 will become equal to 2. Hence, x's value comes out to be 2+1= 3.

Now...4 raised to the power y +2 is equal to 64...that is ,4 raised to the power 3. as bases will be same, powers will be equated and y +2 will become equal to 3. Hence, y's value comes out to be 3-2 =1. we get the value of x=3 and y = 1...so x/y will become 3/1 or 3