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ipn [44]
3 years ago
13

Solve 3 log6 2 + 2 log6 3 − log6 x = 2.

Mathematics
1 answer:
arlik [135]3 years ago
3 0
D:x \ \textgreater \  0\\\\3\log_62+2\log_63-\log_6x=2\\-----------------------\\Use:\\\log_ab=c\iff a^c=b\\\log_ab+\log_ac=\log_a(bc)\\\log_ab-\log_ac=\log_a(\frac{b}{c})\\\log_ab^c=c\log_ab\\-----------------------\\\log_62^3+\log_63^2-\log_6x=2\\\\\log_68+\log_69-\log_6x=\log_66^2\\\\\log_6(8\cdot9)-\log_6x=\log_636\\\\\log_672-\log_6x=\log_636\\\\\log_6\frac{72}{x}=\log_636\iff\dfrac{72}{x}=36\\\\\dfrac{x}{72}=\dfrac{1}{36}\ \ \ \ \ |multiply\ both\ sides\ by\ 72\\\\x=\dfrac{72}{36}\\\\\boxed{x=2}\in D
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30+10xh p.s. x equals the times symbol if you didnt know

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3 years ago
The perimeter of a triangle is 45 centimeters. find the lengths of its sides if the longest side is 7 centimeters longer than th
dangina [55]
X = length of shortest side
Therefore the remaining sides will be x +2 and x + 7

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The sides are 12, 14, and 19 cm. long. Hope this helped!
3 0
3 years ago
From 12 teachers to 48 teachers
viktelen [127]
If you need the steps on how to get to 48 from 12, just multiply 12x4. Idk if that's what you need lol


3 0
4 years ago
Read 2 more answers
Please help on this question <br> !
netineya [11]
To do this problem hand, you have to start by changing the mixed number into an improper fraction. A handy trick for that is to:
1) Multiply the denominator of the fraction part, 4, by the whole number, 4. So 4*4=16.

2) Add the number in the numerator to the value from step one. So 16+3=19.

3) Put the value from step two over the denominator to get your improper fraction! 19/4

Now you need to multiply to get a common denominator in both values in order to subtract. You have 19/4 - 1/3. This is when you could use a calculator if allowed haha, or multiply 19/4 by 3/3 and 1/3 by 4/4 to get 57/12 - 4/12. Subtract to get 53/12.

Now just do simple division and put the remainer over 12 and simplify the fraction if needed! 53/12 = 4R5. So 4 5/12 is the answer :)
5 0
3 years ago
What is the domain and range of the following?
Marrrta [24]

Answer:

c

Step-by-step explanation:

Domain is the x-values range is y-values

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