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
Ilia_Sergeevich [38]
3 years ago
8

Need help please find the inverse of this logarithm function please ❤️ ONLY IF UR GOOD AT MATH!!!!

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

as you already know, we start by doing a quick switcheroo on the variables, to get the inverse expression of any expression, so


\bf \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{f(x)}{y}=3\left( 2^{x+3} \right)-4\implies \stackrel{\textit{quick switcheroo}}{x=3\left( 2^{y+3} \right)-4}\implies x+4=3\left( 2^{y+3} \right)


\bf \cfrac{x+4}{3}=2^{y+3}\implies \log\left( \cfrac{x+4}{3} \right)=\log\left( 2^{y+3} \right) \\\\\\ \log\left( \cfrac{x+4}{3} \right)=(y+3)\log\left( 2 \right)\implies \cfrac{\log\left( \frac{x+4}{3} \right)}{\log(2)}=y+3 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{\log\left( \frac{x+4}{3} \right)}{\log(2)}-3=\stackrel{f^{-1}(x)}{y}~\hfill

kykrilka [37]3 years ago
3 0

Answer:

f-1(x) = log2 [ (x + 4)/3 ] - 3.

Step-by-step explanation:

Let y = 3(2^(x+3) - 4

3(2^(x + 3) = y + 4

2^(x + 3) = (y + 4)/3

x + 3 = log2 [(y + 4)/3]

x = log2 [ (y + 4)/3 ] - 3

Inverse f-1(x) = log2 [ (x + 4)/3 ] - 3




You might be interested in
Help me with this math problem I will give BRAINLIEST for the right answer.<br><br> Show your work**
aev [14]

Answer:

The answer is 9x-4.

Step-by-step explanation:

First calculate the area of the backyard. This is 13x-1. Then multiply the area of the patio so multiply x +3 by x+ 3. The answer to this is 4x+3. Next subtract the area of the patio from the area of the backyard. The answer is 9x-4.

3 0
3 years ago
What is the median of the following 9 numbers 23,15,32,27,19,22
Travka [436]

22.5 i think but i have no idea good luck

7 0
2 years ago
In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them
eimsori [14]

Answer:

1/2 of the class

give brainliest if it helps

7 0
3 years ago
Pls answer answer pls
Mama L [17]

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

6 0
3 years ago
Read 2 more answers
Please help :) thank you!
Jobisdone [24]

Answer:

800

Step-by-step explanation:

16 x 10 x 5= 800

5 0
2 years ago
Read 2 more answers
Other questions:
  • Erica rolls a die twice. What is the probability that she rolls an odd number and then a number less than 3?
    8·2 answers
  • A computer monitor is listed as being 17 inches. This is the diagonal across the screen. If the screen measures 10 inches in hei
    7·1 answer
  • suppose the population of a certain city is 4569 thousand. It is expected to decrease 3690 thousand in 50 years. Find the percen
    7·1 answer
  • Inputs are represented by the variable x .<br><br><br> True or False
    11·2 answers
  • Complete the equation of the line whose interpret is (9.0) and slope is -2. Remember to use y=mx+b format
    13·1 answer
  • Can you please help me create an graph for C pleaseeee I need the answer quick thanks!!!!
    8·1 answer
  • Can you figure out the solution? <br><br> Options: <br><br> a) 8<br> b) 6<br> c) 2<br> d) 5
    10·2 answers
  • PLEASE HELP!! WILL MARK BRAINLIEST!!!
    6·1 answer
  • If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
    12·1 answer
  • • Packaging of a product can cost a lot of money. Can you design
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!