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
Help please BRAINLEISTTTTT
lesya [120]

Answer:

1) v 2)t 3)-5, 5.5

Step-by-step explanation:

ztydh

7 0
2 years ago
Round 12.03994 to 3 decimal place
Misha Larkins [42]
12.03994\to\boxed{12.04}
8 0
3 years ago
Write seven hundredths in standard form
velikii [3]
I think it would be 0.07
6 0
2 years ago
Steve purchases a new car with a down payment and a loan at a 4.9% interest rate. His loan contract is for 60 months and has no
andre [41]
Pay more than the minimum payments
4 0
3 years ago
Read 2 more answers
Y = -3x + 5? *<br> What’s the slope of the equation y =-3x+5
Crazy boy [7]

Answer:

The slope is -3

Step-by-step explanation:

The formula is y= mx + b

m = slope

b=  y intercept

Therefore, the slope is -3

4 0
2 years ago
Other questions:
  • A trampoline has an area of 49 pi square feet. what is the diameter of the trampoline?
    13·1 answer
  • There are 8 math classes in 7th grade.
    5·1 answer
  • Mr. Albano wants to paint menus on the wall of his cafe in chalkboard paint. The gray area below shows where the rectangular men
    14·1 answer
  • How to solve x^2+8x+3 using the quadratic formula​
    7·1 answer
  • Is 2 divided by 1/4 greater than 1
    9·1 answer
  • Theater has 384 seats each row has 16 seats the area model represents the situation part A what is the value of X in the area mo
    7·2 answers
  • If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation
    10·1 answer
  • The scatter plot shows the number of albums sold from 2006 to 2011. What is the association between the two quantities?
    6·2 answers
  • Find the volume of the rectangular prism. 4 in 3 [in 4 in 4 in​
    14·1 answer
  • A cell phone company charges 5$ for 250 text messages. How much does the company charge for 300 text messages?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!