Answer:
y = 1n ( 10 ) / 31n ( 3 )
Step-by-step explanation:
Switch Sides: 27^y -1 = 9
Add 1 to both sides: 27^y -1 + 1 = 9 + 1
Simplify: 27^y = 10
Next, you apply exponent rules: yln ( 27 ) = ln ( 10 )
Then, solve yn 27 ) = ln ( 10 ) : y = 1n ( 10 )/ 31n ( 3 )
So, you answer should be
y = 1n ( 10 ) / 31n ( 3 )