Question 422131:  Can you step by step solve for x? 
log (base 6) 1/216 = x 
 Answer by lwsshak3(11628)      (Show Source): 
You can  put this solution on YOUR website! Can you step by step solve for x? 
log (base 6) 1/216 = x
 
..
 
log6(1/216)=x 
convert to exponential form: 
The base raised to the logarithm of the number=number. In this case the base=6,the logarithm of the number=x and the number=1/216 
6^x=1/216=1/6^3=6^-3 
exponents of the same base are equal to each other in an equation 
x=-3 
 
  | 
 
  
 
 |   
 
 |