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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Answer:
58 and 42.
Step-by-step explanation:
Let the 2 numbers be x and 100-x.
Also let x be the largest number, so
x ≥ 100 - x + 16 ( 'At least 16' means equal to 16 or greater than 16).
Add in x to both sides:
x + x ≥ 100 + 16
2x ≥ 116
x ≥ 58.
But since the sum of the 2 numbers is 100, x must be 58 and the other number is 42.
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
The number 'k' is called the constant of proportionality.
Given the equation
as
so
∵
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
Answer is A. 3 1/4 is to the left of 7/2 and 7/2 is to the left of 3.75.
With a horizontal line, they are talking about the integers from positive to negative. as you go left the numbers decrease and as you go right the numbers increase
First change 3 1/4 and 7/2 into decimals
3 1/4= 3.25
7/2= 3 1/2= 3.5
Here are your decimals from least to greatest.
3.25, 3.5, 3.75
So 3.25 (3 1/4) is to the left of 3.5 (7/2) and it is to the left of 3.75
Answer:
1/600 or 0.00166666 in decimal
Step-by-step explanation:
6*10^-2=1/(6*10^2)=1/(6*100)=1/600
