MATHEMATICS HIGH SCHOOL

Solve the following equations.
1 − log8(x − 3) = log8(2x)

Answers

Answer 1
Answer:

Answer:

The answer to your question is: 4

Step-by-step explanation:

Data

                                   1 − log₈(x − 3) = log₈(2x)

                                   1 = log₈(x − 3) + log₈(2x)

                                    1 = log₈ 2x(x - 3)

                                    8¹ = 2x(x - 3)

                                    8 = 2x² - 6x

                                    2x² - 6x - 8 = 0

Factorize                      2x² - 8x + 2x - 8 = 0

                                    2x(x - 4) + 2(x - 4) = 0

                                    (x - 4) (2x + 2)

                 x1 = 4                      x2 = -2/2 = -1

                                                     

x2 = -1 is not and answer because there are not negative logs.

Related Questions

Tea from Britain costs $2.50 to produce. It is sold in America at a price of $3.50 (to make a profit of $1.00) Tea in America costs $3.00 to produce. It is sold at a price of $4.00 (to make a profit of $1.00) If there is a 50% Tariff on tea, who would you buy your tea from?
Pls help I am on a lesson plsss give all my points
-z2-z-19Z=-7 what is the answer please
Will mark brainliest!Which of the following is the result of using the remainder theorem to fin F(-2) for the polynomial function F(x)=-2x^3+x^2+4x-3? A. -23 B. 9 C. -11 D. 3
The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times the width of the banner. How long is the banner?

Can you answer this for me pls i need it ASAP​

Answers

Answer:

24m^3-160m^2+225m+30

Step-by-step explanation:

Ok so i attached it as a picture.

Leonora is incubating eggs. For the eggs to hatch, the temperature in the incubator (t) needs to be at least 77°F. Which statement represents the temperature it must be in the incubator for the eggs to hatch, in °F?

Answers

If the temperature is represented by variable T, the statement will be t ≥ 77°. Because the temperature can be greater or equal to 77°.

Help me please Algebra Two!!

Answers

Answer:

a. -2, even mult. and 1, odd mult.

b.(x+2)^2(x-1)

c. Odd degree of 3 or higher, likely higher due to the turns in the graph.

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

  • The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
  • Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
  • The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.

In this graph, there are two real zeros: -2,1

We can write them in intercept or factored form as (x-1) and (x+2).  

Because the graph never crosses the x-axis at x=-2 the zero has an even multiplicity of at least 2.  The opposite is true for x=1 because it crosses. Therefore it has an odd multiplicity of at least 1.

The graph is a sideways s shape and ends up so is positive.  

This means the function has a degree of 3 or higher with the degree being odd.

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 49 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

245

Step-by-step explanation:

49 = 20%

2.45 = 1%

245 = 100%

0.2 as a whole number

Answers

Ummm there is no possible way to change 0.2 into a whole number but you can change it into a fraction by simply putting the number of the place it is in under it like this 2/10=0.2
The smallest whole number is ' 1 '.  

0.2 is only 20% of ' 1 '.

0.2 does not have what it takes to be a whole number.

Hope this helps :)

Find the degree of the polynomial: 8r3 + 7r5 + 2r

Answers

5. The degree of the polynomial is the highest number degree in the polynomial.

Final answer:

The degree of a polynomial is determined by the highest exponent in the terms of the polynomial. The polynomial 8r3 + 7r5 + 2r has a degree of 5, which is the exponent of the highest-degree term, 7r5.

Explanation:

In Mathematics, when dealing with a polynomial, the degree of the polynomial refers to the highest power of the variable in the polynomial. For the given polynomial, 8r3 + 7r5 + 2r, we can see that the degrees of each term are 3, 5, and 1 respectively. The term with the highest degree is 7r5 which has a degree of 5. Therefore, we can conclude that the degree of the given polynomial is 5.

Learn more about Degree of a Polynomial here:

brainly.com/question/32846397

#SPJ2
Other Questions
Need the answer What are the values of​ x, y, and​ z?
at a local fitness center, members pay a $6 membership fee and $5 for each aerobics class . nonmembers pay $6 for each aerobics class . for what number of aerobics classes will not cost for members and nonmembers be the same ?
Express 64% as a fraction in simplest form.
A customer buys five cans of baked beans, four packets of brown sugar and two packets of biscuits from a supermarket.He gives the cashier R150.00 and gets R26.00 in change. A can of baked beans costs half as much as a packet of biscuits whilst a packet of sugar is R3.00 cheaper than a packet of biscuits.1.How much did all the items cost? 2.Calculate the cost of a can of baked beans, a packet of sugar and a packet of biscuits. 3.How much will 8 cans of baked beans,1 packet of sugar and 6 packets of biscuits cost?