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
Mazyrski [523]
3 years ago
5

[20 pts] evaluate the logarithm log(6)1/36​, show work pls!

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

\large\boxed{\log_6\dfrac{1}{36}=-2}

Step-by-step explanation:

\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2

\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}

You might be interested in
If y varies directly as x and y = 15 when x = 5,what is the value of y when x = 6? a. 5 b. 36 c. 9 d. 18
Evgesh-ka [11]
The answer to this question is D
8 0
4 years ago
I need help in solving this, I dont want an answer. 10. The Wilson family had a family portrait framed for their living room. Th
ollegr [7]
So to find an area of a square is length times width. 45 times 37 =1665inches now convert that to ft and that’s your answer!
Hope this helps!
3 0
4 years ago
y 5 1.055x, where x is the sales price in dollars and y is the price including sales tax, in dollars.
lakkis [162]

Answer:

I am sorry I am not able to help you but I have no idea what that problem is you might have to just ask someone else or look it up on another website.

8 0
3 years ago
Which transformation is not a rigid transformation?
Agata [3.3K]
The correct answer is dilation
5 0
3 years ago
PLEASE HELP ASAP<br> Answer correctly
givi [52]

Answer:

62,100

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Bryan interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table show
    6·2 answers
  • Sixty percent of the days in the desert were hot and dry . Out of the 365 days, how many were hot and dry?
    5·1 answer
  • -5(x+2)+3x= Which expression can be written in the box on the other side of the equation
    12·2 answers
  • Find all solutions for 2y - 4x =2 y = 2x + 1 site:socratic.org
    11·1 answer
  • Which exponent value makes the statement true? 16=2? 8 6 4 3
    7·1 answer
  • jake buys a bike that costs £145. the price of a skateboard is 2/9 the price of the bike. how much does the skateboard cost?
    7·1 answer
  • -_- i hate khan plz help me
    11·1 answer
  • Molly and Ryan both need to answer this question on their test in math class. 34×45=? They both got 12/20 as their answer but do
    15·1 answer
  • A paratrooper falls to the ground along a diagonal line. His fall begins 1683 meters above the ground, and the line he follows h
    13·1 answer
  • What is the purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aero
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!