The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
To learn more about the logarithmic functions, visit here:
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Answer: 21
Step-by-step explanation:
Given : The scores on the midterm exam are normally distributed with
Let X be random variable that represents the score of the students.
z-score: 
For x=82
For x=90
Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-
Now ,the number of students expected to receive a score between 82 and 90 are :-
Hence, 21 students are expected to receive a score between 82 and 90 .
Answer:
Cornor has $14.17 initially
Step-by-step explanation:
The complete question is as follows
Connor has five times as much money as Jayden. Connor gives some money to Jayden. They now have £8.520each. How much did Connor have at the start?
solution
In this question, we are concerned with knowing how much that both had initially.
Let the amount of money Jayden has be £x . Since Cornor has Five times this, he has £5x
Let the amount of money Cornor gave Jayden be £y.
This means ;
5x - y = 8.50 .....(
(i)and also x + y = 8.50 ......(ii)
It is this equations we solve simultaneously
From i, we can say let y= 5x - 8.50, and we insert this into equation ii
x + 5x - 8.50 = 8.50
6x = 17
x = 17/6
x = $2.83
y = 5x - 8.50
y = 5(2.83) - 8.50
y = $5.67
The amount of money Cornor has at first is 5x = 5(17/6)
5x = $14.17
Answer:
60 mph
Step-by-step explanation:
You divide 180 by 3 to get 60 mph
dividing both sides by -4, we get:
this means, each term is its previous term divided by -4.
now we can construct the sequence as follows:
Answer: the last term is -1/32
