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Fittoniya [83]
2 years ago
7

Log3+logx-log(x+1)=log2

Mathematics
1 answer:
OlgaM077 [116]2 years ago
8 0

Answer:

  • x = 2

Step-by-step explanation:

These are the properties of logarithms that you have to use to solve the equation:

logA+logB=log (AB)\\ \\ logA-logB=log(\frac{A}{B} )

logA=logB⇒A=B

With that you can follow these steps and find the value of x:

log3+logx-log(x+1)=log2\\ \\\\ log\frac{3x}{x+1} =log2\\ \\ \\ \frac{3x}{x+1} =2\\ \\ \\ 3x=2(x+1)\\ \\ \\ 3x=2x+2\\ \\ \\ x=2

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What is the SST for the data set (1,4), (2,6),(4,11)?
densk [106]

Answer: 26

Step-by-step explanation:

First Data: (4 - 7)^2

Second data: (6 - 7)^2

Third Data: (11 - 7)^2

So the SST is (4 - 7)^2 + (6- 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 75. The second number is 3 less than twice the first
Mandarinka [93]

Answer:

\large{\textbf{The two numbers are: 26 and 49}.\\}

Step-by-step explanation:

\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y =  75  \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$  \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} &  \implies x + 2x - 3 = 75  \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }

7 0
3 years ago
Help please picture attached
Naya [18.7K]

Answer:

-10

Step-by-step explanation:

3/5(b)=-6

Divide -6 by 3/5, you get -30/3.

4 0
3 years ago
If the population of a city is 8,839,469 then declines by 4% every year, what is the population in 3 years?
quester [9]
8,839,469 people* 94% percent of last years population= <span>8,309,101 people after 1 year
</span>8,309,101 people*94% percent of last years population= <span>7,810,555 people after 2 years
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7 0
3 years ago
Can someone please help me??
Nesterboy [21]

Answer:

Answers are below

Step-by-step explanation:

x     y

0    $25,001.00

1     $25,000.95

2    $25,000.90

3    $25,000.86

I graphed the function on the graph below and found the values of y for each value of x.

*My graph showed that the initial value of the printer was $25,001.00, instead of $25,000.00*

7 0
2 years ago
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