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777dan777 [17]
3 years ago
6

O log2 3x + log2 3=2

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

\large\boxed{x=\dfrac{4}{9}}

Step-by-step explanation:

\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}

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Py+7=6y+q solve for y
andreyandreev [35.5K]

We know that we are solving for y.


This is a step by step procedure to get the value of y.


First: Move all terms to the left side and set equal to zero.


Second: Then set each factor equal to zero.

 

The application is:


Given: py+7=6y+q 


-6y -7 -6y -7 = 0


(p-6)y = q-7



divide both sides by p-6
y=(q-7)/(p-6)


Answer is y = (q – 7) / (p – 6) 

8 0
3 years ago
In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many
Luda [366]

Answer:

21

Step-by-step explanation:

The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.

3 0
3 years ago
Read 2 more answers
What is the property used in 25+0=25
xz_007 [3.2K]

math teacher said its associative

5 0
3 years ago
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7+z / 2

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3 0
3 years ago
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after the holiday season, the average number of costumers per day at the game galaxy store decreased from 612 to 450. find the p
andrey2020 [161]
Simple, finding markdown, use these two formulas.

Markdown=Original-New
and
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So,

Markdown=612-450
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M%=26.5 (rounded)

Thus, there was a 26.5% decrease.
5 0
3 years ago
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