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

Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a
Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situation and determine the first two p
What have legislators and information technology specialists had a significant impact on?
.Answer only the second question and show steps​
Please help I will give brainliest
help please hurry lots of points
A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight
Write the equation of the linear relationship in slope-intercept form.
You read about a new invention in Techtopia. You consider traveling there instead. How much would your $100 be in Techtopian dollars? (PLEASE show work!)
Which voyage of the following places were along the route of Darwin's voyage of the Beagle?​