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
s344n2d4d5 [400]
2 years ago
11

Write -5 as a logarithim with a base of 4

Mathematics
2 answers:
likoan [24]2 years ago
4 0

Answer:

log_4(\frac{1}{4^5})   = -5

Step-by-step explanation:

log_b(a) = c ↔ b^c = a

You are given b = 4

You re also given c = -5

To find a, use the exponential form:

b^c = a

= (4)^{-5} = \frac{1}{4^5} = a

Then you can convert into a logarithm.

log_4(\frac{1}{4^5})   = -5

Sonja [21]2 years ago
3 0

Answer:

There are multiple ways of writing this:

\sf  -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)

Step-by-step explanation:

Log rule:  \sf log_a(a)=1

\sf \implies log_4(4)=1

\sf \implies -5log_4(4)=-5

Log rule:  \sf c \cdot log_ab=log_a(b^c)

\sf \implies -5log_4(4)=log_4(4^{-5})

                       \sf = log_4\left(\dfrac{1}{4^5}\right)

                       \sf = log_4\left(\dfrac{1}{1024}\right)

You might be interested in
Read the following statement. It is cloudy outside. What is the first step of indirectly proving this statement?
EleoNora [17]
Assume if it is cloudy, then you are outside.
5 0
3 years ago
Read 2 more answers
Pls help help me out help help pls help quick
kotegsom [21]
The answer is b I hope this help
7 0
3 years ago
Read 2 more answers
PLEASE HELP
valina [46]

Answer:

each side of the patio measures ft.

5 0
2 years ago
Read 2 more answers
She filled her one half cup measuring cup 7 times how many flowers does the cake recipe call for
Oksana_A [137]
Answer -3.5 reason is because if u do 7 multiplied by 1/2 u get that answer
7 0
3 years ago
The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours
Drupady [299]

Question:

The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or afternoon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius.At 5 p.m, the temperature is halfway between the temperature at 2 p.m. and the temperature at 8 p.m.

What coordinates represent the temperature at 5 p.m.?

Answer:

(5, 2)

=> At 5pm, the temperature is at 2⁰C

Step-by-step Explanation:

Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.

From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.

==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)

*The position of the point is indicated in the second picture that is attached below.

At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.

Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)

==> At 5pm, the temperature is at 2⁰C

6 0
3 years ago
Read 2 more answers
Other questions:
  • here is the histogram of a data distribution. which of the following numbers is closest to the mean of this distribution
    5·2 answers
  • What is a factor of 27
    5·2 answers
  • Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
    9·1 answer
  • The automatic opening device of a military cargo parachute has been designed to open when the parachute is 135 m above the groun
    14·1 answer
  • Pleass answer the following​
    5·1 answer
  • 15 POINTS!! PLEASE ANSWER AS FAST AS POSSIBLE!!
    12·2 answers
  • Plzzzzzzzzz help meeee
    13·1 answer
  • Convert 1.97 kJ to calories <br>​
    12·1 answer
  • Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):
    15·1 answer
  • Can someone help me do this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!