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
borishaifa [10]
3 years ago
15

Determine the equation of the inverse of y =4^(2x+9)

Mathematics
1 answer:
dybincka [34]3 years ago
6 0
Y = 1/2[(logx/log 4) - 9] is the inverse. 

You can solve this by switching the x and y values and then solve. You'll need to use logarithmic functions in order to get the exponents down. 

<span>x =4^(2y+9)---> take logs of both sides and move exponents
logx = (2y + 9)log 4 ---> divide by log4
logx/log4 = 2y + 9 ---> subtract 9
(logx/log4) - 9 = 2y ---> multiply by 1/2
1/2[(logx/log4) - 9] = y</span>
You might be interested in
A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is chosen from the bag at random
11Alexandr11 [23.1K]

Answer:The answer is 1/2 or you can do 3/6 if it doesnt need to be simplified

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Simplify the expression: -7d+5(10d+-6)
Alexandra [31]

Answer:

-7d+50d+-30= 43d+-30

  1. Use distributive property when there is parentheses and a number infront.
  2. combine like terms. ONLY if they have the same variable.
  3. then just put them in an expression.
3 0
3 years ago
The distance d traveled at a constant speed r is directly proportional to the time t spent traveling. a car moving at a constant
svet-max [94.6K]
150/2.5=x/6 is the proportion
3 0
3 years ago
Read 2 more answers
Sam's take-home pay is $743. His deductions are $25 for OASDI, $5 for Medicare, and $27 for income tax. What is his gross pay?
notsponge [240]
The correct answer is $800

4 0
3 years ago
Read 2 more answers
What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.
irakobra [83]
The angular velocity is the linear speed divided by the radius.
  ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
  ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
  ω = 45 degrees/second
5 0
3 years ago
Other questions:
  • D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.
    15·1 answer
  • 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively
    11·1 answer
  • tenley is making a square frame for her painting. she is using 4 pieces of wood that are each 2.75ft long. how much wood will Te
    6·1 answer
  • Global online music sales have exploded. It was expected that music lovers would spend 2 billion for online music in 2007, in sc
    8·1 answer
  • How do you find the slope if a line of two points are given?
    13·2 answers
  • Can someone help please
    15·1 answer
  • YOU HAVE SAVED $5000 AND INVESTED IT AT A RATE 3.2% FOR 5 YEARS. WRITE AN EXPONENTIAL FUNCTION TO REPRESENT THIS SITUATION. HOW
    7·1 answer
  • Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of ga
    10·1 answer
  • 3. Two numbers are in the ratio 3:5. If their difference is 12, what are the numbers?​
    13·1 answer
  • NEED HELP WILL GIVE BRAINLIEST FOR FIRST FULL ANSWER MUST BE CORRECT
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!