Solve simultaneously 2 log y=log 2 + log x 2 to power y = 4 to power x
1 answer:
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we are given
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now, we can simplify it
Domain:
we know that domain is all possible values of x for which any function is defined
function will be undefined when denominator =0
we are given sqrt function
and we know that value inside sqrt will always be greater than 0
so, domain will be
..............Answer
Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
