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MrRa [10]
3 years ago
7

2.36 = -logx solve for x

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Here's what you have to keep saying to yourself until it carves a new
groove into your brain and you don't have to think about it any more:

            <em> " log(x) = the power that 10 must be raised to </em>
<em>                            in order to wind up with 'x'. "</em>

You said    2.36 = -log(x)

Multiply each side by -1 :    log(x) = -2.36

Now translate it into the mantra:

    <em> The power that 10 must be raised to </em>
<em>     in order to wind up with 'x' is  -2.36 .</em>

Do you see what that means ? ! ?

If the power that 10 must be raised to in order to wind up with 'x'
is  -2.36,  then all you have to do to find 'x' is raise 10 to the power
of  -2.36  !    You can do that with about 4 clicks on your calculator.

   10^(-2.36) = <em>0.004365...</em> (rounded)

And if you don't quite believe it, it's even easier to check it.
Punch  " 0.004365 " into your calculator, and then touch the
"  10^x " key, and something very close to  -2.36  will pop up
right there, before your wondrous eyes.


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What percent of 18.75 is 27?
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A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5
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Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

 T = \frac{15}{f}

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

Wavelength = \frac{L}{10}

λ(air) = \frac{L}{10}

λ(glass) = λ(air) / n

             = \frac{\frac{L}{10}}{1.5}

             = \frac{L}{10} * \frac{1}{1.5}

             = \frac{L}{15}

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2 years ago
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It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num
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Answer:

A. y=-1.2x+59

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, y_{1}=59\textrm{ million}

Newspapers circulated in year 2014, y_{2}=47\textrm{ million}

Let the time x start at the year 2004. So, x_{1}=0

For the year 2014, x_{2}=2014-2004=10

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59

Therefore, the equation describing the relationship is: y=-1.2x+59

Part B:

For the year 2018, x=2018-2004=14

Plug in 14 for x in the above equation and solve for y. This gives,

y=-1.2(14)+59\\y=-16.8+59\\y=42.2

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0
2 years ago
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