andreygoncharovmath andreygoncharovmath
  • 02-04-2022
  • Mathematics
contestada

The square root of 7^16 is equal to 7^n for some positive integer n. Find n.

Respuesta :

loneguy
loneguy loneguy
  • 02-04-2022

[tex]\sqrt{7^{16}} = 7^n\\\\\implies \left(7^{16}\right)^{\tfrac 12} = 7^n\\\\\implies 7^{\left(\tfrac 12 \times 16\right)}=7^n\\\\\implies 7^8 = 7^n\\\\\implies \ln 7^8 = \ln 7^n\\\\\implies 8\ln 7 = n \ln 7\\\\\implies n =8[/tex]

Answer Link

Otras preguntas

How are the locations of earthquakes and volcanoes related?
What are some properties and uses of the square root function?
Match each musical career to its description.A) background vocalistB) session musicianC) performing artistD) private instructorA)provides additional vocal suppo
compare the applications of alpha, beta and gamma radiation
giving out brainiest!!!!!!!!!! 08.02 Lesson Summary and Assessment What Do I Have to Do? You should now be familiar with the Mongol Empire! Now it is time to sh
The Wiz Co. owes $60 to its bondholders for the payment of principal and interest. The company expects to have a cash flow of $136 if the economy continues as i
According to the excerpt, what is the king’s salary? pounds of sterling a year
Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer to the n
A.right triangle B.isosceles triangle C.obtuse triangle D.scalene triangle HELP PLSSS THIS IS DUE BY 2:00 AM I NEED IT ASAPPP
What are the political, cultural, and economic forces that threaten the matrilineal orientation of the Minangkabau?