Choose the single logarithm expression that is equivalent to the one shown 1 / 3 log 3x + 2 / 3 log 3x

Step-by-step explanation:

The given logarithmic expression is:

This is the same as:

We now apply the product rule to get:

We now apply the power rule to get;

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.