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
Karolina [17]
3 years ago
12

Simplify the expression below and write it as a single logarithm:

Mathematics
2 answers:
BabaBlast [244]3 years ago
5 0

Answer:

log((x+4)^3)x-7)^2 / (x-2)^5 x^2)

Step-by-step explanation:

OLEGan [10]3 years ago
4 0

The simplification of 3log(x + 4) – 2log(x – 7) + 5log(x - 2) - log(x^2) is \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

<u>Solution:</u>

Given, expression is 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)

We have to write in as single logarithm by simplifying it.

Now, take the given expression.

\rightarrow 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)

Rearranging the terms we get,

\left.\rightarrow 3 \log (x+4)+5 \log (x-2)-2 \log (x-7)+\log \left(x^{2}\right)\right)

\text { since a } \times \log b=\log \left(b^{a}\right)

\rightarrow \log (x+4)^{3}+\log (x-2)^{5}-\left(\log (x-7)^{2}+\log \left(x^{2}\right)\right)

\text { We know that } \log a \times \log b=\log a b

\rightarrow \log \left((x+4)^{3} \times(x-2)^{5}\right)-\left(\log \left((x-7)^{2} \times\left(x^{2}\right)\right)\right.

\text { We know that } \log a-\log b=\log \frac{a}{b}

\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

Hence, the simplified form \rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)

You might be interested in
Seven times the difference of x and 4 is -10
4vir4ik [10]

Answer:

In this equation x = 2

Step-by-step explanation:

First, it is easiest to convert these words to numbers. That would make it

4 - <em>x  </em>· 7 = -10

First subtract 4 from both sides.

4 - <em>x</em> · 7 - 4 = - 10 - 4

Then you simplify.

-<em>x ·</em> 7 = -14

Divide both sides by 7.

\frac{-x(7)}{-7} = \frac{-14}{-7}


Then you simplify that fraction to 2 and thats how you get your answer.



7 0
3 years ago
HELPPPPPPPP!!!!!!!!!!
Novosadov [1.4K]

Step-by-step explanation:

98 = 188t - 16t^2

-16t^2 + 188t = 98

-16t^2 + 188t - 98 = 0

8t^2 - 94t + 49 = 0

Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions

t = [(47 - root 1817) / 8]≈ 0.55

and

t = [(47 + root 1817) / 8] ≈ 11.20

8 0
3 years ago
Write a positive or negative integer that represents the situation. You earn $15 raking leaves. The integer represents the situa
beks73 [17]

Answer:

+$15

Step-by-step explanation:

Amount earned for raking leaves = $15

Representing the amount earned above. As a positive or negative integer will depend on what the money is used for or stands for.

Amount earned for working adds to one's wealth while expenses will be represented as negative as it decreases the amout one has ;

Hence, integer ; +$15

8 0
3 years ago
Please provide a answer
Schach [20]

Answer:

uhh, look it up

Step-by-step explanation:

8 0
2 years ago
Create and solve a 2 step equation with addition and division.
Inessa05 [86]

Answer:

(2+4)÷12

Step-by-step explanation:

jxkgxljcluckyxlhlusgibibsi do u need an explanation but here

6 0
3 years ago
Other questions:
  • If two distinct lines intersect , what must be true ?
    13·2 answers
  • Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = 7x2 – x3 by observing the equation of the func
    13·1 answer
  • which statement is true about the function f(x)=-x ? a). the domain of the graph is all real numbers. b). the range of the graph
    5·1 answer
  • The silver bar is 15cm long. The bar is melted and the silver is then made into a cuboid. The base of the cuboid is 10cm by 10 c
    12·1 answer
  • NEED ANSWER NOW..NEED CORRECT ANSWER WILL MARK BRAINLIEST..
    14·2 answers
  • X²+y²-6x+14y-1=0<br> and please show your work so I can learn
    11·1 answer
  • Which graph represents the solution set of the system of inequalities? {y≥13x−3y&lt;−3x−3
    10·1 answer
  • Simplify k - 1 + 1 - 4k
    14·1 answer
  • In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue be
    10·1 answer
  • 14 less than a number is 2 more than 9 times a number
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!