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
ladessa [460]
3 years ago
14

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

Mathematics
2 answers:
mina [271]3 years ago
7 0
1. log {10 (1/100) } = log {1/10} = -1

2. log {10 (1/10)} = lg {1} = 0

3. log {10 (1)} = lg (10) = 1

4. log {10 (10)} = log {100} = 2

5. log {10 (100)} = log{1000} = 3
Andrew [12]3 years ago
5 0

The non-algebraic functions are called transcendental functions. This include the logarithmic function. The definition of Logarithmic Function with Base a is as follows:


For \ x\ \textgreater \ 0, \ a \ \textgreater \ 0, \ and \ a \neq 1 \\ \\ y=log_{a}x \ if \ and \ only \ if \ x=a^{y} \\ \\ Then: \\ \\ f(x)=log_{a}x \\ \\ is \ called \ the \ logarithmic \ function \ with \ base \ a.


We know that the equations is:


y=log(10x)


So let's solve each case:


Case 1


x=\frac{1}{100} \\ \\ y=log(10(\frac{1}{100})) \\ \\ \therefore y=log(\frac{1}{10}) \\ \\ \therefore y=-1 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{100}} \ matches \ to \ \boxed{y=-1}


Case 2


x=\frac{1}{10} \\ \\ y=log(10(\frac{1}{10})) \\ \\ \therefore y=log(1) \\ \\ \therefore y=0 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{10}} \ matches \ to \ \boxed{y=0}


Case 3


x=1 \\ \\ y=log(10(1)) \\ \\ \therefore y=log(10) \\ \\ \therefore y=1 \\ \\ So: \\ \\ \boxed{\ x=1} \ matches \ to \ \boxed{y=1}


Case 4


x=10 \\ \\ y=log(10(10)) \\ \\ \therefore y=log(100) \\ \\ \therefore y=2 \\ \\ So: \\ \\ \boxed{\ x=10} \ matches \ to \ \boxed{y=2}


Case 5


x=100 \\ \\ y=log(10(100)) \\ \\ \therefore y=log(1000) \\ \\ \therefore y=3 \\ \\ So: \\ \\ \boxed{x=100} \ matches \ to \ \boxed{y=3}

You might be interested in
Which equation has the same solutions as 4x + x - 5 = 0 ?
Lyrx [107]
5x-5=0
You simplify the left side
4 0
1 year ago
Read 2 more answers
suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the
Aleks04 [339]

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

y = 47.6

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

4 0
2 years ago
Read 2 more answers
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
vlada-n [284]

Answer:

here is the answer

Step-by-step explanation:

hope it helps

3 0
3 years ago
1/2 = 2m what does m equal
max2010maxim [7]
1/4 time 1/4 equals a half...or you can think about it as 25 plus 25 equals 50, (1/2 of a dollar)


8 0
3 years ago
When comparing the functions using the equation, which conclusion can be made?
ankoles [38]

Answer:

  domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4

Step-by-step explanation:

The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...

  • the domain of f(x) is restricted to non-positive values
  • the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4

The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.

8 0
3 years ago
Other questions:
  • (Y+8) (y-8) how do I solve this?
    5·2 answers
  • If 3×1=34 2×3=65 6×1=67 5×4=209 then 6×3=
    7·2 answers
  • The volume of a cube is 729 cubic inches. What is the area of each face of the cube
    13·1 answer
  • The number of finance majors within the School of Business is an example of
    14·1 answer
  • Help////<br> whack is 4x4444444+74723=
    9·2 answers
  • Without graphing, identify the equation of the axis of symmetry for
    14·1 answer
  • Morgan is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4.25. How much would Morgan h
    8·2 answers
  • Direction: simplify the following fractions <br><br>1.6/12<br>2.9/15<br>3.8/10<br>4.6/14<br>5.8/18​
    7·2 answers
  • A number which is now a rattional number is a​
    5·1 answer
  • Solve the equation. Check the solution.<br> 9-17x-5-4x=7
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!