Answers:
When we evaluate a logarithm, we are finding the exponent, or <u> power </u> x, that the <u> base </u> b, needs to be raised so that it equals the <u> argument </u> m. The power is also known as the exponent.

The value of b must be <u> positive </u> and not equal to <u> 1 </u>
The value of m must be <u> positive </u>
If 0 < m < 1, then x < 0
A <u> logarithmic </u> <u> equation </u> is an equation with a variable that includes one or more logarithms.
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Explanation:
Logarithms, or log for short, basically undo what exponents do.
When going from
to
, we have isolated the exponent.
More generally, we have
turn into 
When using the change of base formula, notice how

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why 
We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.
Answer:

Step-by-step explanation:
The given expression is:

We expand the parenthesis using the distributive property to obtain;

Recall that;

We apply this property and multiply out the constant terms to obtain;

Answer:
12
Step-by-step explanation:
Length=4
Width=6
Triangle area formula: Length*Width/2
So, 6*4/2
Equal to 6*2
Answer: 12
Answer:
-240
Step-by-step explanation:
500 - 800 + 60
= -300 + 60 = -240