Which expression is equivalent to log18 – log(p + 2)?

Logarithms help us to find the power a number must be raised to get the desired number. The expression can be written as .

There are four basic properties of logarithms:

Given to us

log18 – log(p + 2)

As we know the properties of the logarithm, therefore, we can write the given expression as,

Hence, the expression can be written as .

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log[18/(p + 2)].

Step-by-step explanation:

In logarithm if the expression is in the form of log(a/b), then we can write the expression in the form like

log(a/b) = loga - logb

Now in our question the given expression is log18 - log(p+2)

So we can write this expression as

log18 - log(p+2) = log (18/p + 2)

So the answer is log [18/(p + 2)]

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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