All categories

3 years ago

HELP FAST PLEASE MARKING BRAINLIEST AND GIVING LOTS OF POINTS!!!

Mathematics

2 answers:

maks197457 [2]3 years ago

8 0

the answer is log((x-2)^2)

andreev551 [17]3 years ago

4 0

Answer:

log [(x - 2)^2 ]

Step-by-step explanation:

3 log(x - 2) + log (x + 2) - log (x^2 - 4)

= log (x - 2)^3 + log ( x + 2) - log (x^2 - 4)

= log [ (x - 2)^3 (x + 2) / (x^2 - 4) ]

= log (x - 2)^3 (x + 2) / (x - 2)(x + 2)]

= log [(x - 2)^2 ]

You might be interested in

Two solutions to y'' – 2y' – 35y = 0 are yı = e, Y2 = e -5t a) Find the Wronskian. W = 0 Preview b) Find the solution satisfying

pashok25 [27]

Answer:

a. $w(t)=-12e^{2t}$

b. $y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}$

Step-by-step explanation:

We have a differential equation

y''-2 y'-35 y=0

Auxillary equation

$(D^2-2D-35)=0$

By factorization method we are finding the solution

$D^2-7D+5D-35=0$

$(D-7)(D+5)=0$

Substitute each factor equal to zero

D-7=0 and D+5=0

D=7 and D=-5

Therefore ,

General solution is

$y(x)=C_1e^{7t}+C_2e^{-5t}$

Let $y_1=e^{7t} \;and \;y_2=e^{-5t}$

We have to find Wronskian

$w(t)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}$

Substitute values then we get

$w(t)=\begin{vmatrix}e^{7t}&e^{-5t}\\7e^{7t}&-5e^{-5t}\end{vmatrix}$

$w(t)=-5e^{7t}\cdot e^{-5t}-7e^{7t}\cdot e^{-5t}=-5e^{7t-5t}-7e^[7t-5t}$

$w(t)=-5e^{2t}-7e^{2t}=-12e^{2t}$

a. $w(t)=-12e^{2t}$

We are given that y(0)=-7 and y'(0)=23

Substitute the value in general solution the we get

$y(0)=C_1+C_2$

$C_1+C_2=-7$ ....(equation I)

$y'(t)=7C_1e^{7t}-5C_2e^{-5t}$

$y'(0)=7C_1-5C_2$

$7C_1-5C_2=23$ ......(equation II)

Equation I is multiply by 5 then we subtract equation II from equation I

Using elimination method we eliminate $C_1$

Then we get $C_2=-\frac{5}{2}$

Substitute the value of $C_2$ in I equation then we get

$C_1-\frac{5}{2}=-7$

$C_1=-7+\frac{5}{2}=\frac{-14+5}{2}=-\frac{9}{2}$

Hence, the general solution is

b. $y(t)=-\frac{9}{2}e^{7t}-\frac{5}{2}e^{-5t}$

7 0

3 years ago

Which describes how to find the solution to 3p < 14?

Flura [38]

Answer:

p < 14/3

Step-by-step explanation:

5 0

2 years ago

-30=w+8 it's a equation

Kipish [7]

Yes, it's an equation.
Do you want the solution to this equation? for this we need to have w alone. So we need to get rid of 8:

-30-8=w+8-8

-38=w

inverting sides:
w=-38

8 0

3 years ago

Read 2 more answers

Identify the type of represented f(x)=3/8(4)^x

SVEN [57.7K]

Answer:

Exponetial Growth

7 0

3 years ago

Write the ratio as a fraction in simplest form. 16 yr : 28 yr (PICTURE) (PLZ HELP)

nataly862011 [7]

Answer:

2/7

Step-by-step explanation:

16yr:28yr simplified is:

2:7

then as a fraction it's 2/7

Hope it helps:)

6 0

3 years ago