1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
3 years ago
14

Solve this equation log3X + log3(x-6) = log3 7

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

<=> x + 1 = 0 and x - 7 = 0 <=>

<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

You might be interested in
Rewrite the following equation in log form: 2^2 = 4
Finger [1]

We have to write

2^2 =4

In log form

To convert exponential equation to log equation, we have to use the following ruleIf \ a^b = c, \ then \ b=log_{a} c

So we will get

If \ 2^2 =4, \ then \ 2 = log_{2} 4

or

log_{2}4=2

And that's the required log form .

5 0
3 years ago
Read 2 more answers
You are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 secon
AnnyKZ [126]

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

Learn more here: brainly.com/question/17003809

4 0
2 years ago
Can you please help me with 23 and 25 I do not understand!!! Please help
adell [148]

when you multiply a number by a value that's greater than 1, that number increases, for example 2 and then we multiply it like 2 * 3, clearly 2*3 is greater than 2.

now when you multiply a number  by a value that's lesser than 1, that number decreases, for example 2 and then we multiply it by something like 1/4, so 2 * 1/4 = 1/2, well, clearly 1/2 is smaller than 2, so 1/2 is a decreased value of 2.

23)

we have here 4/7, and then a product, well, the product is 4/7 and 9/10, however 9/10 is less than 1, recall 1 = 10/10, 9/10 is just a tiny bit less than 1.

because we're multiplying 4/7 by some amount less than 1, the product is a smaller value than 4/7, thus

 \bf \cfrac{4}{7}~~>~\left( \cfrac{9}{10}\times \cfrac{4}{7} \right)

25)

we have here 5/6 and we multiply it by 7/7, wait a minute!!! 7/7 = 1, we're really just multiplying 5/6 by 1 then, what does that give us?  well, 5/6 * 1  = 5/6, just the number itself,

\bf \cfrac{5}{6}~~=~\left( \cfrac{5}{6}\times \cfrac{7}{7} \right)

7 0
2 years ago
Please help and give a explanation I will give brainliest and 25 points
Doss [256]

Answer:

Addition: -1 + -3 = -4

Subtraction: (-4) - 5 = -10

Step-by-step explanation:

Since adding a positive makes a negative number stay negative, it equals -4.

Then by subtracting a negative with a positive (5), the number stays negative once again, which then equals -10.

8 0
2 years ago
A $10 decrease followed by a $15 increase
Leto [7]
That’s not the full question but if it was it would be greater bc 10 - 10=0 but 10-10+15 would equal 15 instead of 10
3 0
2 years ago
Other questions:
  • If ABCD is dilated by a factor of 3, the coordinate of D’ would be ?
    10·1 answer
  • For real answers 25 pts and a mark!! Help please!!Suppose that there are two types of tickets to a show: advance and same-day. A
    12·1 answer
  • What is the surface area, in cm^2 of the figure? please help with my homework:)
    15·1 answer
  • What is 5/6 multiplied by 5 as a mixed number
    9·2 answers
  • Solve the following equation. –4y + 8 = 4(2y – 2) – 2(–16 + 8y) A. y = –4 B. y = 4 C. y = –2 D. y = –6 I need Help I am utterly
    14·1 answer
  • Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3.
    5·1 answer
  • Can someone plz help me!!!
    15·1 answer
  • What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?
    10·2 answers
  • Hello please help i’ll give brainliest
    7·1 answer
  • Easiest way to solve this?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!