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

I’ll give brainlyiest (sorry if I spelled it wrong) to first correct answer
15% of 20 isΟ 30Ο 300​
What two military groups did Benjamin Oliver organize and command during world war ii
A baseball with a mass of 300 g has a kinetic energy of 304 J. Calculate the speed of the baseball
Which rule describes the translation?
What were some key benefits for Europeans during the Age of Exploration? Check all that apply.
HELP ASAP!!!! WILL MARK BRAINLIEST!!!! What is shown in the diagram? a. an electromagnet b. a generator c. a motor d. a turbine (I think it is C)
One of the ways in which urban dwellers have tried to push back against crime in their urban neighborhoods is through the implementation of neighborhood watch p
Which condition would disturb the hardy-weinberg equilibrium and cause the gene pool to change? Mating occurs at random. No mutations occur. All genotypes on av
Where does the federal government get its revenue?