solve the given equation

Question

log243 n=4/5

Answer 1

log_n 243 = 4/5 

 

 n^4/5 = 243

 

n^4/5 = 3 ⁵

 

  

n ^{4/5 =} 3⁵

 

(n^{4/5 ) 5  =} 3^25

 

 n⁴ = 3^25

 

n = 959.4

 

Test:

 

  (959) ^( 4/5) = 243

  

 

 

Answer 2

log(243)n=(4/5)

n=(243)^(4/5)

n=(3*3*3*3*3)^(4/5)

n=(3^5)^(4/5)

n=(3)^(5*[4/5])

n=3^4

n=3*3*3*3

n=81