Start with 6.106. move the decimal over 7 spots to the right.
Your answer will be 61,060,000.
The domain:The number of which the logarithm is taken must be greater than 0.

The base of the logarithm must be greater than 0 and not equal to 1.
* greater than 0:

*not equal to 1:

Sum up all the domain restrictions:
The solution:

Now if the base of the logarithm is less than 1, then you need to flip the sign when solving the inequality. If it's greater than 1, the sign remains the same.
* if the base is less than 1:

The inequality:

* if the base is greater than 1:


The inequality:
![\log_{8x^2-23x+15} (2x-2) \leq \log_{8x^2-23x+15} 1 \ \ \ \ \ \ \ |\hbox{the sign remains the same} \\ 2x-2 \leq 1 \\ 2x \leq 3 \\ x \leq \frac{3}{2} \\ x \leq 1 \frac{1}{2} \\ x \in (-\infty, 1 \frac{1}{2}] \\ \\ \hbox{including the condition that the base is greater than 1:} \\ x \in (-\infty, 1 \frac{1}{2}] \ \land \ x \in (2, \infty) \\ \Downarrow \\ x \in \emptyset](https://tex.z-dn.net/?f=%5Clog_%7B8x%5E2-23x%2B15%7D%20%282x-2%29%20%5Cleq%20%5Clog_%7B8x%5E2-23x%2B15%7D%201%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%5Chbox%7Bthe%20sign%20remains%20the%20same%7D%20%5C%5C%202x-2%20%5Cleq%201%20%5C%5C%202x%20%5Cleq%203%20%5C%5C%20x%20%5Cleq%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%20x%20%5Cleq%201%20%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20x%20%5Cin%20%28-%5Cinfty%2C%201%20%5Cfrac%7B1%7D%7B2%7D%5D%20%5C%5C%20%5C%5C%20%5Chbox%7Bincluding%20the%20condition%20that%20the%20base%20is%20greater%20than%201%3A%7D%20%5C%5C%20x%20%5Cin%20%28-%5Cinfty%2C%201%20%5Cfrac%7B1%7D%7B2%7D%5D%20%5C%20%5Cland%20%5C%20x%20%5Cin%20%282%2C%20%5Cinfty%29%20%5C%5C%20%5CDownarrow%20%5C%5C%20x%20%5Cin%20%5Cemptyset)
Sum up both solutions:
The final answer is:
Answer:
The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
<u>1st:</u>
$3.75 for 3 cans
per can
<u>2nd:</u>
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then

This means the constant of proportionality is 1.25 and its meaning is the soup price per can
Answer:
y € R i guess
Step-by-step explanation:
I hope it correct
Answer:
When you multiply through by the LCD and solve the resulting quadratic equation, you get solutions x=2 and x=1. However when we try to check the solution x=2, it causes the first and last denominators to become 0, which is undefined. However x=1 checks.
Step-by-step explanation: