Penrdeezyelieshi Penrdeezyelieshi
  • 21-11-2016
  • Mathematics
contestada

Write log3 6 as a logarithm of base 2.

1) (log2)3/(log2)6
2) (log2)6/(log2)3
3) (log3)2/(log6)2
4) (log6)2/ (log3)2 ...?

Respuesta :

JcAlmighty
JcAlmighty JcAlmighty
  • 22-11-2016
The answer is 2) (log2)6/(log2)3.

Use the change-of-base formula: [tex]log_a(x)= \frac{log_b(x)}{log_b(a)} [/tex]

So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
[tex]log_3(6)= \frac{log_2(6)}{log_2(3)}[/tex]
Answer Link
Raimi Raimi
  • 12-01-2021

Answer:

B. (log2)6

(log2)3

is your answer

Answer Link

Otras preguntas

what is 3/8 times 2/9? Answers: A 5/17 B 5/12 C 1/17 D 1/12
How far is the earth slanted
A cable cord is 78 meters long.Workers cut it into 30 pieces of equal length. How many centimeters long is each piece?
Which substance below will exhibit hydrogen bonding between the molecules of the substance? a. CH₄ b. HBr c. HCl d. H₂O e. H₂
An energy value of 3.313 × 10^{-19} joules is needed to break a chemical bond. What is the wavelength of energy needed to break the bond? (The speed of light =
which fraction is equivalent to 9/13? A. 6/10 B. 2/3 C. 36/52 D. 16/20
It is about 2508 miles from Orange County in California to Orange County in Florida. With an average speed of 70 miles per hour, about how long will it take to
who is the only person that can break a tie in the senate
0.4/0.01=40 how does the quotient relate to divide
Two friends share 1/4 gallon of lemonade equally.What fraction of the gallon of lemonade does each friend get?