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3 years ago

What is the solution to 2log(x)=

1 answer:

4 0

you can't really solve for it unless it equals something or there's a value for x. Assuming this logarithm is base 10... you can set it equal to y and simplify it.

2log(x) = log(x^2)
log(x^2) = y
x^2 = 10^y

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Solve. Find all solutions in [0,2).5 secx cotx+5 secx+ cotx+1=0

Dmitrij [34]

$\begin{gathered} 5sec(x)cot(x)+5sec(x)+cot(x)+1=0 \\ Factoring \\ (cot(x)+1)(5sec(x)+1)=0 \\ cot(x)+1=0 \\ cot(x)=-1 \\ x=cot^{-1}(1) \\ x=\frac{3\pi}{4} \\ \\ 5sec(x)+1=0 \\ 5sec(x)=-1 \\ sec(x)=\frac{-1}{5},\text{ there is no solution} \\ Hence \\ All\text{ solution are }\frac{3\pi}{4}+\pi n,\text{ where n=1,2,3...} \\ \\ \end{gathered}$

5 0

1 year ago

Solve x^2 – 8x + 41 = 0 for x.

icang [17]

<span> $\displaystyle x^2 - 8x + 41 = 0 \\\\ \Delta=b^2-4ac \\ \Delta=(-8)^2-4\cdot1\cdot41 \\ \Delta=64-164 \\ \Delta=-100 \\ \\ X_{1,2}= \frac{-b\pm i \sqrt{-\Delta} }{2a} = \frac{8 \pm 10i}{2} \\ \\ X1=4-5i \\ \\ X2=4+5i$ </span>

5 0

3 years ago

There are 50 marbles in a bag. Students picked a marble, recorded its color, and put it back in.

VLD [36.1K]

Answer:

It would be 1/4 or 25%

Step-by-step explanation:

done this before

5 0

2 years ago

X² - 2x=0<br> what is this...like what’s the outcome

Tanzania [10]

Answer:

x=0 x=2

Step-by-step explanation:

X² - 2x=0

Factor

x(x-2) = 0

Using the zero product property

x=0 x-2 =0

x=0 x=2

4 0

3 years ago

A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39

san4es73 [151]

Answer:

The answer to your question is diameter = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

Perimeter = 2πr

2.- Equal the equation to the value given

2πr = 62

-Solve it for r

r = 62/2(3.14)

-Result

r = 62/6.28

r = 9.87 in

3.- Find the diameter

diameter = 2r

diameter = 2(9.87)

diameter = 19.7 in

4 0

3 years ago

Read 2 more answers