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Ulleksa [173]
3 years ago
9

How do you find the derivative of y=log(x)y=log(x) ?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
y=\log x\\
y'=\frac{1}{x \ln 10}\\\\
(\log_a x)'=\frac{1}{x \ln a}
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Kate has a kite with the dimensions shown below. What is the value of X?
sergij07 [2.7K]
Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

\frac{11}{x} = \frac{x}{25}

Cross multiply. 

25*11= 275

x*x= x^{2}

Find the square root. 

√275= 16.583.... 

Or 5√11. 

I hope this helps!
~kaikers

6 0
3 years ago
Evaluate the expression 3c – d for the given variable. d = -c + 7
s2008m [1.1K]
3c-d
3c-(-c+7)
3c+c-7
4c-7
Final answer: 4c-7
5 0
3 years ago
How many solutions does the system of equations have 2x = -10y + 6 and x + 5y = 3
kipiarov [429]
Infinite

x=-5y+3 is the same as x+5y=3
3 0
3 years ago
Please help! It’s Saturday and I only have this question left on my digital worksheet!
Natalija [7]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

<h3>\frac{ {6}^{ - 3} }{ {6}^{5} }</h3>

Using the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

<h3>\frac{ {a}^{x} }{ {a}^{y} }  =  {a}^{x - y}</h3>

So we have

<h3>\frac{ {6}^{ - 3} }{ {6}^{5} }  =  {6}^{ -  3 - 5}  =  {6}^{ - 8}</h3>

Using the rules of indices

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

So we have the final answer as

<h2>\frac{1}{ {6}^{8} }</h2>

Hope this helps you

4 0
3 years ago
Is 5/8 bigger or smaller than 4/6<br>is -3/2 bigger or smaller than -4/6
Mashutka [201]
\frac{5}{8} ....\frac{4}{6} \\\\ \frac{15}{24} < \frac{16}{24} \\\\\\ -\frac{3}{2} ....-\frac{4}{6} \\\\ -\frac{9}{6} < -\frac{4}{6}


8 0
3 years ago
Read 2 more answers
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