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 are the types of unconformities that can occur in rock layers? a. angular c. nonconformity b. disconformity d. all of the above
you are studying an element that is a gas at room temperature. Is it most likely a metal, nonmetal, or metalloid?
How was the Mayan economy similar to the economy of ancient river civilizations? A) The Maya traded locally available materials for materials from other regio
Years ago, there were much films on Biblical themes; now, the subject is almost taboo. A. Ago B. Much C. On D. Now E. No Error
On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd, four people have heard the rumor
Yolanda spends 8 2⁄3 hours per month playing soccer. Approximately how many hours does she play soccer in a year? (There are twelve months in a year.) A. 416
Is potassium hydroxide amphoteric?
what factors of 20 and 44 have in common
What are the icebreakers about love and respect
Speech on BE SOLAR- BE ENVIRONMENT FRIENDLY