dagmawimengistu3 dagmawimengistu3
  • 25-06-2022
  • Mathematics
contestada

Given that log (p, x) =20 and log (p, y) =5 find log (x, y)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 27-06-2022

Answer:

  1/4

Step-by-step explanation:

The change of base formula for logarithms is ...

  [tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]

__

Using this with the given values, we have ...

  [tex]\log_x(y)=\dfrac{\log_p(y)}{\log_p(x)}=\dfrac{5}{20}\\\\\boxed{\log_x(y)=\dfrac{1}{4}}[/tex]

Answer Link

Otras preguntas

a company makes a profit of $1.58 million. This is $2.69 million more than last year. What was the profit last year?
The result of (6.2 × 104) x (3.3 × 102) expressed in scientific notation?
K+9 q=----------- N-S Solve for k
From 2000-2003, students were tested by the state in four major subject areas of math, science, English and social studies. The chart below displays average sco
who has the ultimate authority to decide whether or not a federal law is constitutional
In 1855 Italian governments were controlled by either blank or the Papacy a. Austria b. Italy c. Germany d. Spain
A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.
What older civilization did the Aztecs admire?
If you were one of the new immigrants who arrived in America in the 1880s, it's most likely that you would have been a. Irish and Protestant. b. German and Lu
14 is 20% of what number