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You could also do this by simple iteration.

\(\text{First scale the problem to deal with more manageable numbers. Let }x=\frac{n}{18\times10^7}\\.\\\text{Then the equation becomes: }x\log_2(18\times10^7x)=1 \\.\\\text{Rewrite in the form: }x=\frac{1}{\log_2(18\times10^7x)} \text{ and use a simple iterative approach.}\\.\\ x_0=1\\ x_1=\frac{1}{\log_2(18\times10^7*x_0)}\rightarrow 0.036465\\ x_2=\frac{1}{\log_2(18\times10^7*x_1)}\rightarrow0.044158\\ ...\\ x_8=\frac{1}{\log_2(18\times10^7*x_7)}\rightarrow0.0436571\\.\\ n=0.0436571\times18\times10^7\approx7858278\)

There are 20 of them:

Any number, except for zero, raised to the power of zero equals 1 .

Here is one way of thinking about why this is. I've never heard it explained like this, but I really like his explanation! I will probably think of it this way from now on!

That's a good one Yimpy !!

Also..at the very end there was a typo...I think you mean   \(y = {5x \over 4}\)

On the last one I actually messed up!

$300 + $200 is $500   , not  $600  !

But...I could still see it being $600 !

I can also see it being $500    ...

[5.5%] / 12 =0.055/12 =0.004583333...... This is your monthly interest rate.

$200 / 0.004583333...... =$43,636.36 - This is the amount you must invest.

Pacific (CANADA OR U.S.A)

What time zone?

2x + 5y = y + 7x

to isolate x:

Minus y from both sides

2x + 4y = 7x

Minus 2x from both sides

4y = 5x

divide equation by 5

\(x = {4y \over 5}\)

to isolate y:

Minus y from both sides

2x + 4y = 7x

Minus 2x from both sides

4y = 5x

divide equation by 4

\(x = {5x \over 4}\frac{}{}\)

Is this supposed to be \(THAT\)OFF TOPIC?

IT EQUALS \(19!\)////////+//////////=\ \ \ \ \ \ \ \ \                                                               

\(9+10=19\)T h a t   s h o u l d   b e  C L E A R!!!

Thanks, X².....!!!!

1.  I used this tool to generate the best-fit line :

http://www.alcula.com/calculators/statistics/linear-regression/

 The generated equation  is   about   y =  1x  + 3.26   which is closest to

 y  = x + 3    ........So....hectictar's answer is good

2.  This looks to be almost linear.....the best fit appars to be  y  = 2x -1......as hectictar said

3. This is the same graph as 2.....  so.....2(12) - 1  = 23.......

"22"  seems to be the closest value

4. Very difficult to tell what the exact values are, but hectictar's logic seems sound.....!!!!

This is how you should write it:

n*log(2, n) = 18*10^7

n≈ 7.8582779588575599198532262×10^6 [Still Newton-Raphson method-See your last post]

how can you put (7.7×108)×(4.9×10−5) as a scientific notation.

Thanks X squared, yours is a good answer too :))

I think you mean  (7.7×10^8)×(4.9×10^−5)

You use the ^ (calleded a hat, or more correctly still a caret) to indicate a power.

\( (7.7×10^8)×(4.9×10^{−5})\\ =7.7\times 4.9 \times 10^{8+-5}\\ =7.7\times 4.9 \times 10^{8+-5}\\ =37.73 \times 10^{3}\\ =3.773 \times 10^1 \times 10^{3}\\ =3.773 \times 10^4 \)

what does .99999999999999999999999999999 equel?

hints:
x=.999999999999999999999999999999999
x=1

It is not so!

\(x=0.999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999\ \ finite \ decimal \ fraction \\ x=\frac{999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999 \ 999}{1 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000 \ 000}\) 

\( x=0.\overline{999}..\ periodic \ decimal \ fraction\\x=1\) 

  !

Have fun playing around with these, too. I did not create any of these

https://www.desmos.com/calculator/kxwwku8ywp

https://www.desmos.com/calculator/h5ul73hohl

Its probably still cancer

3.

I'm not sure which question you intended to ask because the title and the response box are different expressions. I'll just evaluate both for you:
 

1. \(\frac{2}{13}*\frac{27000}{1}=\frac{54000}{13}\approx4153.84615385\)
2.  \(\frac{1}{2}*\frac{27000}{1}=\frac{27000}{2}=13500\)

First evaluate the given expression and then put into scientific notation:

Of course, we aren't done yet! We have to convert this number into scientific notation. Let's do it:

Yes thank you i know i find it but becaise the result is 

10e^3 - 5e^2 -49e/2 + 11e from ministry i think i was false but im not .Thank you!