Math, asked by ravalikandi2002, 9 months ago

if 2log (x+t/4)=logx+logy, find value value of x/y+y/x​

Answers

Answered by premkore777
0

Answer:

Consider the given equation.

2log(x

2

y)=3+log x−log y

log (x

2

y)

2

=3+log

y

x

log (x

4

y

2

)−log

y

x

=3

log (x

4

y

2

×

x

y

)=3

log (xy)

3

=3

(xy)

3

=10

3

...........(log

a

b

=x⇒b=a

x

)

xy=10⇒y=

x

10

........ (1)

And (x−y)=3........(2)

substitute equation (1) in (2)

x−

x

10

=3

x

x

2

−10

=3

x

2

−3x−10=0

x

2

−5x+2x−10=0

x(x−5)+2(x−5)=0

(x−5)(x+2)=0

x=5 or −2

But x>0

Hence, x=5 is the answer.

Answered by sahitya17
2

Step-by-step explanation:

hope my answer is correct ☺️

Attachments:
Similar questions