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
Tamiku [17]
3 years ago
12

Inverse of y equals 12 to the x

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

f^{-1}(x) = log_{12}(y)

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

f^{-1}(x) = log_{12}(y)

You might be interested in
Evaluate the function. h(x) = x2 – 5x; find f(4).
Reika [66]
If you mean h(4)
h(4)=(4)*2 -5(4)
=8-20
=-12
The answer will be-12
8 0
3 years ago
Need help someone please help me
Margaret [11]

Answer:

Its a i just took the test

Step-by-step explanation:

4 0
3 years ago
A credit card company offers an annual 2% cash-back rebate on all gasoline
Nitella [24]

$4,350  x 0.02 = $87

$360  - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

6 0
3 years ago
Find the quotient of 1 1/4 and 3 1/2 . Express your answer in simplest form.
tino4ka555 [31]

Answer:

8/35

Step-by-step explanation:

1 1/4 = 5/4

3 1/2 = 7/2

5/4 × 7/2

Find the reciprocal. (flip numerator and denomimator)

4/5 × 2/7 = 8/35

4 0
3 years ago
Help with number 5 thx
Temka [501]

First, we find the area of the circle.

A = pi * r^2

A = pi * (1 cm)^2

A = pi cm^2

The area of the circle is pi cm^2.

The area of the triangle is also pi cm^2.

Now we use the area of a triangle.

A = (1/2)bh

(1/2)bh = A

(1/2)(3 cm)h = pi cm^2

(3 cm)h = 2pi cm^2

h = (2/3)pi cm

The exact height is \dfrac{2\pi}{3} ~cm

If you want an approximate height, then it is 2.09 cm.

3 0
3 years ago
Other questions:
  • Which of the following is NOT true?
    13·1 answer
  • NEED HELP 15 POINTS!!!!1
    12·1 answer
  • A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to s
    12·1 answer
  • What is the axis of symmetry for the function f(x) =-2x^2+4x+1 is the line x=1 where is the vertex of the function located?
    5·1 answer
  • Graph the equationX = -2
    15·1 answer
  • Desmond deposits $50 into a savings account every month at an annual interest rate of
    10·1 answer
  • What is the slope of a line that goes through the points (-1,2) and (1, 4)?
    10·1 answer
  • Given that XH bisects Answer choices <br> A.) 50<br> B.) 48<br> C.) 62<br> D.) none of the above
    8·1 answer
  • Elliot spent 3/7 of his money on some comics. He spent 1/4
    6·1 answer
  • How can I solve this 9x-5-(6-)​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!