aliasyahira
aliasyahira aliasyahira
  • 25-06-2021
  • Mathematics
contestada

given log base3 4 = log base 1/27 k , find the value of k .​

Respuesta :

virtuematane virtuematane
  • 03-07-2021

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

Answer Link

Otras preguntas

The area of a triangle is 6.75 m to the 2 power.  If the base of the triangle is 3 m, what is the height of the triangle?
What happened during the holocaust?
Simplify the expression 7v + 2w-12v
Nathan correctly answered 17 of the 20 questions on the test. What percent of the question did Nathan answer correctly?
Solve for " x " --- 20/x = 4/9 ? explain. (:
What happened during the holocaust?
Justin works as a car salesman. Last week he had a total of 42,000 dollars in sales. if his Commission is 2 percent how much did Justin earn and last week?
Explain what force caused the movement of the continents from one supercontinent to their present positions
I need help with an acrostic poem about the act, here us what I got: Sons of liberty fought this Tax Another unpopular tax M Patrick Henry argued about unfair
Harold's old school has 52 sixth graders and 39 seventh graders, what's the ratio of 6th graders to 7th graders in simplest form? (: