Question

if 3^x =4^y= 12^xy then find x+y​

Answer 1

Answer:

x + y = 1

Step-by-step explanation:

[ Refer to the attachment ]

Answer 2

Answer:

The value of x+y is 1.

Step-by-step explanation:

As per the data given in the question

We have to calculate the value of x+y

As per the question

It is given that

$3^{x}=4^{y}=12^{xy}$

or we applying log on both side we get

$log 3^{x}=log 4^{y}=log 12^{xy}$

= x log 3=y log 4 = xy log 12

= x log 3=xy log 12

⇒1=$\frac{y log 12}{log 3}$

y= $\frac{log 3}{log 12}$

Again y log 4 = xy log 12

⇒x=$\frac{log 4}{log 12}$

Add x and y value we get

x+y = $\frac{log 4+log 3}{log 12}$

x+y = $\frac{log 4 *3}{log 12}$

x+y = $\frac{log 12}{log 12}$

x+y = 1

Hence, the value of x+y is 1.

For such type of question:

https://brainly.in/question/3769150

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