Answer:
Step-by-step explanation:
Hi there,
To get started, recall the logarithm rules. For this question, we can use the log rule specifically when subtracting two log functions that have the same base:
![log_b\alpha -log_b\beta =log_b[\frac{\alpha }{\beta } ]](https://tex.z-dn.net/?f=log_b%5Calpha%20-log_b%5Cbeta%20%3Dlog_b%5B%5Cfrac%7B%5Calpha%20%7D%7B%5Cbeta%20%7D%20%5D)
In this prompt, our base is 4, so b in the above formula. Using this formula, we can find the missing <u><em>argument</em></u> (the number inside of the log, what we are asked to solve for):
![log_49-log_411=log_4[\frac{9}{11} ]\\](https://tex.z-dn.net/?f=log_49-log_411%3Dlog_4%5B%5Cfrac%7B9%7D%7B11%7D%20%5D%5C%5C)
hence the missing argument is 9/11
At this point, there is no easier say to simplify, unless you wish to approximate 9/11 as 0.818. If you wish to solve for the exponent, you will have to use common log or natural log to do so.
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thanks,
Answer:
b=-a
Step-by-step explanation:
Becaude when b is <u>positive</u> a will be <u>negative</u>
And when b is <u>negative</u> a will be <u>positive</u>.
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
hope this helps!
Answer:
.
Step-by-step explanation:
This is a geometric sequence that means there is a common ratio. That means there is a number you can multiply over and over to get the next term.
The first term is 27.
The second term is (1/3)(27)=9.
The third term is (1/3)(9)=3.
So the common ratio is 1/3.
That means you can keep multiplying by 1/3 to find the next term in the sequence.
The explicit form for a geometric sequence is 
where 
is the first term and 
is the common ratio.
We are given 
and 
.
So the explicit form for the given sequence is .
Answer:
Step-by-step explanation:
(11,13) (8,18)
slope = y₂ - y₁/x₂-x₁
= 18- 13 / 8-11
= 5 / - 3
= -5/3
