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coldgirl [10]
3 years ago
6

Log (3x+1) - Log (2x+5)= 1​

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

\huge \red { \boxed{x =  -  \frac{49}{17}}}

Step-by-step explanation:

log(3x + 1) - log(2x + 5) = 1 \\  \\ log  \: \frac{3x + 1}{2x + 5}  = log \: 10..( \because \: log \: 10 = 1) \\  \\  \frac{3x + 1}{2x + 5}  = 10 \\ \\  3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\  \\  - 17x = 49 \\  \\ x =  \frac{49}{ - 17}  \\  \\  \huge \purple{ \boxed{x =  -  \frac{49}{17}}}  \\

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4 0
3 years ago
Use exact numbers <br><br> Find the equation of the line <br><br> Thank very much in advance!
SashulF [63]

Answer:

y = 3x+3

Step-by-step explanation:

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5 0
3 years ago
If a factory continuously dumps pollutants into a river at the rate of the quotient of the square root of t and 45 tons per day,
julsineya [31]
<h2>Hello!</h2>

The answer is:

The first option, the amount dumped after 5 days is 0.166 tons.

<h2>Why?</h2>

To solve the problem, we need to integrate the given expression and evaluate using the given time.

So, integrating we have:

\int\limits^5_0 {\frac{\sqrt{t} }{45} } \, dt=\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \, dt\\\\\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \ dt=\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt\\\\\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt=(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)\\\\(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)=(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)

(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)=(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)\\\\(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)=(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)\\\\(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)=(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})\\\\(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})=\frac{2}{135}*11.18-0=0.1656=0.166

Hence, we have that the amount dumped after 5 days is 0.166 tons.

Have a nice day!

5 0
4 years ago
Which of the following are equivalent ratios?<br><br> 15 to 20<br> 6 to 8<br> 8 to 12<br> 9 to 12
I am Lyosha [343]
So yuo simplyfly

15:20=3:4

6:8=3:4

8:12=2:3

9:12=3:4

so your answer is not c
3 0
3 years ago
Read 2 more answers
Which of the following is the graph of y=-(x-2) – 5?
svlad2 [7]

Answer:

465

Step-by-step explanation:

7 0
3 years ago
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