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
adoni [48]
1 year ago
9

Use the properties of exponential and logarithmic functions to solve each system. Check your answers.

Mathematics
1 answer:
BlackZzzverrR [31]1 year ago
3 0

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

To learn more about the logarithmic and exponential functions, visit here:

brainly.com/question/13473114

#SPJ4

You might be interested in
Are theese rational<br><br><br>-3/8 +3/5
nekit [7.7K]

Answer:

The sum is rational.

Step-by-step explanation:

-3/8 is a rational number  (the ratio of 2 integers)

3/5 is a rational number  (the ratio of 2 integers)

When you add 2 rational numbers, you get a rational number.

3 0
3 years ago
Drag and drop the steps to show the process for finding the inverse of the function below.
lilavasa [31]

Answer

h^-1(x)= x+43

Explanation

h(x)=x-43

Use substitution

y=x-43

Interchange the variables

x=y-43

Swap the sides

y-43=x

Move the constant to the right

y=x+43

Use substitution

h^-1(x)=x+43

4 0
2 years ago
Plz help with this one toooo
Yuki888 [10]

Answer:y.5

Step-by-step explanation:5 times 3 = 15/2 = 7.5

6 0
3 years ago
Simplify 9x + 4(x + 2) - 5:
densk [106]

Answer:

9x + 4(x+2) - 5

9x + 4x + 8 - 5

13x + 3

Step-by-step explanation:

I hope this helps!

3 0
3 years ago
Read 2 more answers
Camarones $30 for babysitting on Friday nights she makes an average of $1.25 in tips for our read the function of Kim's earnings
guapka [62]
33.75 if u r including the 30.00

5 0
3 years ago
Read 2 more answers
Other questions:
  • 19 question find the solution of. Y = 6× + 1 for x = 5
    9·1 answer
  • What is a integer????
    7·2 answers
  • 7 is greater than w, and w is greater than 2 <br><br> use w only once in your inequality
    5·1 answer
  • Please help me with this i will mark you brainliest ​
    5·2 answers
  • Aliens spotted! They have pulled up 97 chickens, 47 cows, and 77 humans. What is the probability, if they randomly select from a
    9·1 answer
  • What multiples for 90 and adds up to -23 ?
    15·1 answer
  • What is the inverse of f(x)=2x−3
    14·1 answer
  • I have no idea what I am doing
    15·2 answers
  • If Fran has 7 sheets of paper for a coloring project. If she only uses 1/3 of a sheet of paper per drawing how man drawings can
    8·2 answers
  • Can someone please answer this for brainlist pls.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!