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

Annie by 55.56 yd.³ of topsoil for $1.75 per cubic yard how much would Annie have paid?
Contrast the opposing viewpoints regarding affirmative action programs. Critics view affirmative action as a form of reverse discrimination that punishes peop
what is the oldest question here? like the first person to go and ask a question in brainly (0_0)- Zahra
Indicators, recorders, and alarms all display the current values of process variables.a) Trueb) False
Why is life expectancy of some minerals very low
Can you guys pls me help me out I don’t know what to put on the lines pls answer fast
Give exact values, not decimal approximations.
Larry had 9 grams of pepper. Then he used 0.9 grams of the pepper to make some scrambled eggs. How much pepper does Larry have left? ​ grams
The first delegates to the party nominating conventions for presidential election are selected in the ____ caucuses in January
A motion is open to debate when A. the motion is seconded. B. the motion has been stated by the chair. C. a member has made the motion.