Question

log of 3 to the base 81​

Answer 1

Answer:

log of 3 to the base 81​ = 1/4

Step-by-step explanation:

Since  81  is much larger than  3 , our answer will be a decimal, so let's think of this problem in the opposite sense:  

log 3 ( 81 ) * 3 ^4 = 81 , so  log 3 ( 81 ) = 4 .  

Using the law of exponents, we know that if  a ^m = n , then  n^(1/ m)  =  a . So using this rule, we know that  81^( 1 /4 )= 3 , so  log 81 ( 3 )  =  1/4

Answer 2

I believe that the answer is 1/4