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
Gennadij [26K]
3 years ago
14

Use the definition of logarithm to simplify each expression.

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0
1)\ \ \ log 10 ^{10}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10}\ \ \ \Leftrightarrow\ \ \ \ \ \ x=10\\\\2) \ \ \ log 10 ^{100}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{100}\ \ \ \Leftrightarrow\ \ \ x=100\\ \\ 3)\ \ \ log 10 ^ {10-4}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10-4}\ \ \ \Leftrightarrow\ \ \ x=6
You might be interested in
Which choice represents the expression below as a single exponential
kkurt [141]

Answer:

Step-by-step explanation:

Exponential function represents as x^2 = x * x or 2^3 = 2*2*2 etc.

As per options,

(A) We are unable to write the number 79 as a exponent.

B) We are unbale to write the number 742 as a exponent as well.

(c) We are unable to write the number 73 as a exponent as well.

(d) We are able to write the number 79.79 as exponent (79)^2. Base is 79 and exponent is 2 and it is single exponential expression as base is only one number.

4 0
1 year ago
Help please os of álgebra
kozerog [31]

Answer:

(11, 11)

Step-by-step explanation:

Solve by substitution:

1. set the equations equal to each other

3x-22=-x+22

2. simplify

4x-22=22\\4x=44\\x=11

3. substitute the value of x into an equation

y=3(11)-22\\y=33-22\\y=11

7 0
3 years ago
Critique each of the following proposed research plans. Your critique should explain any problems with the proposed research and
Korvikt [17]

Answer:

Explained

Step-by-step explanation:

Given that:

- A researcher is interested in determining whether a large aerospace firm is guilty of gender bias in setting wages.

According to the given info the difference in means test is too limited because it does not include the type of engineer, education level or experience. The gender with lower wages of might be reflected in the type of engineer or education level.

The research could be improved using additional data on the factors namely gender, education, education and the type of engineer.

Then, further it is recommended to construct a multiple regression where the dependent variable is a wage and the four factors are independent variables. The importance of the omited variable by the means of that the "difference in means" test in unsuitable for determining the gender bias in setting wages.

3 0
3 years ago
Please help me
kirza4 [7]
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

6 0
3 years ago
Write 35% as the sum of two benchmark percents or as a multiple of a percent.
Lemur [1.5K]
Beach Mark is a multiplication to remember
6 0
3 years ago
Read 2 more answers
Other questions:
  • Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. If g = 5, what are t
    9·2 answers
  • (please zoom / zoom out if needed to see question. (: )
    8·2 answers
  • A square field has an area of 479 ft to the second power what is the approximate length of a side of the field
    11·1 answer
  • Identify which sets the number -20 belongs to
    8·1 answer
  • If sinA-cosA=0, What is the value of TanA and SecA?​
    7·2 answers
  • How do I get the answer? I know it's right on the paper but I don't get pints if I don't show my work.
    8·2 answers
  • can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
    9·2 answers
  • How do I solve this..... plz help!!!! What is the answer????
    6·2 answers
  • Use the table to find the COORDINATES of the image ​
    12·1 answer
  • What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!