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3 years ago

PLZZ HELP! PLZ NO PLAGARISM!

Mathematics

1 answer:

arlik [135]3 years ago

7 0

Answer: The area of Rhode Island is about 1,212 square miles

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hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and

Mariulka [41]

Given:

The equation is,

$2\log _3x-\log _3(x-2)=2$

Explanation:

Simplify the equation by using logarthimic property.

$\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{ \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}$

Simplify further.

$\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}$

Solve the quadratic equation for x.

$\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}$

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

$\begin{gathered} x-6=0 \\ x=6 \end{gathered}$

For (x - 3) = 0,

$\begin{gathered} x-3=0 \\ x=3 \end{gathered}$

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

$\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}$

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

$\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}$

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0

1 year ago

Find the Value of |25|

denpristay [2]

Answer:

Step-by-step explanation:

an absaloute value means that every number inside of that would be a positive number.

4 0

3 years ago

Read 2 more answers

How to write a expression for: Jasmin has increased her $45 by m dollars and then spends a third of the entire amount.

siniylev [52]

The first part is addition.
45+m
If she spend a third of it, you could multiply by 1/3 or divide by 3.
Multiply: 45+m x 1/3
Divide: 45+m/3

6 0

3 years ago

Shea and her best friend Kelly both babysit during the summer. Shea charges $4 per hour plus a $3 service fee, while Kelly charg

Gnom [1K]

4h+3=The Pay of Shea 3.5h +6= The pay of Kelly 4h+3=3.5h+6 -3 -3 4h=3.5h+3 -3.5h .5h=3 *2 *2 h=? Then stick "h" into one of the original equations and solve for someones pay to get "p" 3.5(h)+6=p OR 4(h)+3 =p

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3 years ago

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In a package of mixed candies, there are two fruit centres for every three caramel centres. There are 30 candies in the packet.

ivolga24 [154]

Answer:

the answer is ten Carmel centeres.

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3 years ago