If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y
1 answer:
Answer:
x = 1
y = 2
Step-by-step explanation:
x=1 and y=2.
step 1 ,
2^2x*3^y=36
3^y= 36/2^2x ———- equal 1
step 2,
put the value of 3^y in 2^x*3^y = 18 (equal 1)
WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.
Therefore, 2^x-2^2x= 1/2
2^-x= 1/2
(1/2)^x = 1/2
COMPARING THE POWERS BECAUSE THE BASE IS SAME.
x=1.
Now, putting the value of x=1 in 2^x*3^y = 18
y=2.
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