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solve the given equation

log243 n=4/5
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2 Answers

logn 243 = 4/5 
 
 n4/5 = 243
 
n4/5 = 3 5
 
  
4/5 = 35
 
(n4/5 ) 5  = 3^25
 
 n4 = 3^25
 
n = 959.4
 
Test:
 
  (959) ^( 4/5) = 243
  
 
 

Comments

I have taken n as a base.
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