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tatiyna
3 years ago
10

A student solved log4(2x – 12) = 3, as shown.

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
4 0
1-When you have a the logarithm given in the problem above, you can solve it by using the correct properties for logaritms.
 2- The students could solve it as below:
 <span>log4(2x-12)=3
 4^[</span> log4(2x-12)]=4^3
 3- By definition a^log(x)=x, therefore,
 2x-12=4^3
 2x-12=64
 4- Now, the students can solve for x:
 x=38
  The first step is incorrect, because the term on the right member must be 4^3.
irinina [24]3 years ago
3 0

Answer:

The correct answer is x = 38.

Step-by-step explanation:

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.


The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

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What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
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6 0
3 years ago
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How long does it take you and students 2 and 3 to clean up a 12 ft. X 12 ft wall covered in graffiti? Besides the answer (be spe
Ostrovityanka [42]

Answer:

At a combined speed of 6 in/min, it takes us 24 mins to clean the wall

Step-by-step explanation:

Since the question did not provide the speed with which each student cleans, we can make assumptions. This is so that we can solve the question before us

Assuming student 1 cleans at a speed of 2 inches per minute, student 2 cleans at a speed of 2½ inches per minute & student 3 cleans at a speed of 1½ inches per minute.

Let's list the parameters we have:

Height of wall (h) = 12 ft, Speed (student 1) = 2 in/min, Speed (student 2) = 2½ in/min, Speed (student 3) = 1½ in/min

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Time to clean wall (t) = Height of wall ÷ Speed of cleaning wall

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8 0
3 years ago
Help !!! please show work so i know how to do it :)))
satela [25.4K]

Answer:

70

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