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:
<em>(C).</em> <em>(t² - p)( </em>
<em> + pt² + p²) </em>
Step-by-step explanation:
a³ - b³ = (a - b)(a² + ab + b²)
- p³ = (t²)³ - p³ = <em>(t² - p)( </em>
<em> + pt² + p²)</em>
Answer: 
Step-by-step explanation:
We have the equation
where P represents the payment and w represents the amount of water used.
To calculate the monthly payment that corresponds to 12 units of water you must do
in the main equation and solve for the variable P.




52.50-3x=Remainder
Explanation:
52.50 starting amount
3x (3 shirts) (1 shirt=x)
52.50-3 shirts=remainder
1 foot is 12 inches. 2 feet is 24 inches. yea so I'd say 30 inches is definitely longer