The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).
<h3>What is the rewritten form of the expression?</h3>
The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;
2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)
= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)
= log {(x+3)²(x-2)^5}/(x-7)³(x²)
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25 is equal to 1/4
to find 1/4 of a number, you divide the number by 4.
the equation here is:
x ÷ 4 = 40
to solve, do 40 x 4 = 160
x = 160
40 is 25% of 160
Answer:
85M + 4S <u><</u> 1000
Step-by-step explanation:
An inequality represents an expression that can have different values as long as the value is within the range given. In this case, the number of songs and movies that Caissa can download can not exceed 1000 MB. Since each move is 85 MB and each song is 4 MB, then any combination of these two files combined must not be larger than 1000 MB. Using the variable (M) for movies and (S) for songs, we can set up an expression 85M + 4S to represent the number of movies times 85 for each movie and the number of songs times 4 for each song. Since the total can be no greater than 1000, the expression would be less than or equal to (<u><)</u> 1000 MB.
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
