2782 is the answer my friend
Answer: x = 8
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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)
log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2
Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.
Only x = 8 is a proper solution.
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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)
So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed
Elena's height in centimeters is 142.24 cm.
Elena's height in meters is 1.42 meters.
<h3>What is Elena's height in centimeters and meters?</h3>
The mathematical operations that would be used to determine the answers ae division and multiplication.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.
In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch
1 inch = 254 / 100
1 inch = 2.54 cm
Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm
In order to determine the height in meters, first find the unit of conversion of inches to meters
1 inch = 0.0254 meters
0.0254 x 56 = 1.42 meters
To learn more about division, please check: brainly.com/question/13281206
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Answer:
C
Step-by-step explanation:
Answer: the answer is 6)
Step-by-step explanation:
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I hope it right
