Which of the following pairs are equivalent statements?

Step-by-step explanation:

The above answer is basically the definition of the log function. The log function gives you the exponent (p) that results in a number (N) when the base (b) is raised to that power.

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The one thing I try to remember about logarithms is that a logarithm is an exponent.

Option C.

Step-by-step explanation:

We need to find the pairs of equivalent statements.

According to the properties of logarithm,

Using this property we get

Option A is incorrect.

Option A is incorrect.

Option C is correct.

Option D is incorrect.

Therefore, the correct option is C.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9