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mote1985 [20]
3 years ago
7

Solve: In 2x + In 2 = 0 DONE

Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

x=\frac{1}{4}

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means Log_e</em>

<em />

Now, lets start with the equation:

ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)

Writing left side with logarithmic base e, we have:

Log_{e}(2x) = -ln(2)

We can now use the property shown below to make this into exponential form:

Log_{a}b=x\\means\\a^x=b

So, we write:

Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x

We recognize another property of exponentials:

a^{bc}=(a^{b})^{c}

So, we write:

e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x

Also, another property of natural logarithms is:

e^{(ln(a))}=a

Now, we simplify:

(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}

This is the answer.

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x = number

the equation to use is: 3x+4=28


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Step-by-step explanation:

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A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th
Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

y = \frac{340110}{1 + 377e^{-0.259t}}

Solving (a): 1998

Year 1998 means that:

t =1998 -  1980

t =18

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*18}}

y = \frac{340110}{1 + 377e^{-4.662}}

y = \frac{340110}{1 + 3.562}

y = \frac{340110}{4.562}

y = 74553 --- approximated

Solving (b): 2003

Year 2003 means that:

t = 2003 -  1980

t =23

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*23}}

y = \frac{340110}{1 + 377e^{-5.957}}

y = \frac{340110}{1 + 0.976}

y = \frac{340110}{1.976}

y = 172120 --- approximated

Solving (c): 2006

Year 2006 means that:

t = 2006 -  1980

t =26

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*26}}

y = \frac{340110}{1 + 377e^{-6.734}}

y = \frac{340110}{1 + 0.4485}

y = \frac{340110}{1.4485}

y = 234802 --- approximated

3 0
2 years ago
Write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest
Lerok [7]
0.76 is the correct answer.
3 0
3 years ago
Read 2 more answers
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