Question

81^x = 3
Find the value of x

Answer 1

Answer:

81^x = 3

(3^4)^x = 3

3^4x = 3^1

4x= 1

x = 1/4

Answer 2

Answer:

1/4

Step-by-step explanation:

since 3^4=81

or

apply logarithnm on both sides

log(81^x)=log3

xlog(3^4) =log 3

4xlog(3)=log 3

log 3 cancels on both sides

4x=1

hence x=1/4