Answer: f(w) = 3,250(1.03)W
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Followers: 3,250
Increase rate: 3% per week
So, if the followers increase by 0.03 (increase rate in decimal form : 3/100 = 0.03) per week, we have to multiply the number of followers by the number of weeks and the increase rate ( 1+ 0.03 = 1.03).
Mathematically speaking:
f(w) = 3,250(1.03)W
Where:
w = number of weeks
Answer: 8 miles
Step-by-step explanation:
24/3=8
Step-by-step explanation:
just look what happened :
every term was multiplied by a factor with the value 1 (to keep the original value) but to establish a common denominator.
a/b was multiplied by d/d, and c/d was multiplied by b/b, so that the common denominator is then bd.
so, the first answer option is correct.
although I am a bit unhappy with its phrasing.
but the other options are definitely wrong.
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.
===============================================
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.