Answer:
log₁₀ (10¹²)
Step-by-step explanation:
First you should find the solution to the given equation
x-4=2³
x-4=8
x=8+4=12
Now observe the behavior of logarithmic equations with the base 10
log₁₀ 100=2
log₁₀ 10000=4
log₁₀ 1000000=6
To get the answer to
log₁₀ y=12
Then y=10¹².........................how?
check for the first case
log₁₀ 100=2 this can be written as
10²=100
This means to get y in log₁₀y=12 you should rise the base to power 12
y=10¹²
This is to say that
log₁₀ (10¹²) = 12
Answer: Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Step 1: Determine the ordered pair
To start off, let’s find the ordered pair. This will eliminate two of the options; two of the potential answers state that the ordered pair is (0,-6), while the other two say that it is (-6,0).
To find the ordered pair, let’s look at the y-intercept. We are told that it is -6. This means that the point on the y-axis is -6, while the x-axis will remain at 0. Let’s put this information into a point, with 0 as x and -6 as y. This will be (0, -6).
Now that we know that (0, -6) is the ordered pair, we know to eliminate options 3 and 4. This leaves us with only options 1 and 2 as potential answers.
Step 2: Determine how to find slope
The final thing we need to do is determine how to find the slope. We are told that the slope is 2, but the two answers we have left ask us to explain how to proceed. We could either move up 2 and over 1 on the right, or move up 2 and over 1 on the left.
To find this, let’s examine the slope. As you may know, points on the graph go left if the slope is negative, and points on the graph to right is the slope is positive.
Since our slope is positive. We will go up 2 and over 1. This will bring us our final answer by eliminating option 2. Option 1 is our answer!!
Step 3: Write out final answer
Now that we eliminated all the invalid options, let’s write out our final option as our answer.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Hope this helps! Comment below for more questions.
Answer:
3(50 g) = 150 g
Step-by-step explanation:
If you mean 25% sugar by mass, then 1/4 of the total mass is sugar, and 3/4 is water. So you need 3 times as much water as sugar.
3(50 g) = 150 g
Answer:
(y+1)^3
Step-by-step explanation:
When dividing powers, subtract them. Therefore, 5-2 = 3. So, (Y+1)^5/(Y+1)^2 = (Y+1)^3
Answer: 22 hours 11 minutes
<u>Step-by-step explanation:</u>
![22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes](https://tex.z-dn.net/?f=22%5C%20hours%20%2B%20%5Cbigg%5B%5Cdfrac%7B19%7D%7B100%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5Cbigg%5D%5C%5C%5C%5C22%5C%20hours%20%2B%2011%5C%20minutes)
