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solong [7]
2 years ago
9

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Mathematics
1 answer:
Alecsey [184]2 years ago
7 0

Answer:

x = 32/5

Step-by-step explanation:

Given the logarithmic equation,

log2x + log2(x – 6) = 4, to get the equation that can solve the potential solutions to the equation we need to solve the equation by removing all traces of log as shown;

According to the law of logarithm, log a + log b = log(a/b). Applying this to the equation given

log2x + log2(x – 6) = 4,

log2(x/x-6) = 4

Also If log_a b = c, then a^c = b

x/x-6 = 2⁴

x/x-6 = 16

Cross multiplying

x = 16(x-6)

x = 16x-96

x-16x = -96

-15x = -96

x = 96/15

x = 32/5

The solution to the equation is x = 32/5

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Evan went to the park and saw for animals each animal was either a duck or dog if he saw a total of 14 legs how many of each ani
beks73 [17]

Answer:

Two dogs and three ducks

Step-by-step explanation:

Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.

In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.


7 0
2 years ago
A drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?​
Strike441 [17]

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

4 0
2 years ago
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Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
Identify the 12th term of the geometric sequence in which a2 = −6 and a6 = −96
timurjin [86]
a_2=-6;\ a_6=-96\\\\a_6:a_2=r^4\\\\r^4=-96:(-6)\\\\r^4=16\\\\r=\sqrt[4]{16}\\\\r=2\\\\a_{12}=a_6r^6\\\\a_{12}=-96\cdot2^6=-96\cdot64=-6,144
6 0
2 years ago
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Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
Kamila [148]
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
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2 years ago
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