If x² + y² = 7xy prove that
log(xty) - log3 + 1/2 log×+logy

n = m

By the definition of logarithms and due to the fact that logarithms are...

Step-by-step explanation:

Now, by the “logarithm of a power” property, we have:

log (x + y)² = log (xy) – log 3²

log (x + y)² = log (xy) – log 9

Now, by the “logarithm of a quotient” property, we have:

log (x + y)² = log (xy/9)

Now, let n = log (x + y)²  and m = log (xy/9), then, substituting, we have the equality:

n = m

2

step-by-step explanation:

1+1=2

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.