SOLUTION: Log 5 (1/125)=x-1 can someone help me solve for x? *note, the "5" is supposed to be the little number that hangs beside the log and the "(1/125)" is supposed to be the big numbe

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Log 5 (1/125)=x-1 can someone help me solve for x? *note, the "5" is supposed to be the little number that hangs beside the log and the "(1/125)" is supposed to be the big numbe      Log On


   

Question 606711: Log 5 (1/125)=x-1 can someone help me solve for x?
*note, the "5" is supposed to be the little number that hangs beside the log and the "(1/125)" is supposed to be the big number beside it but I didn't know how to make it look like that on here.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Just write it like you did but use an underscore following log to indicate that what comes next is a subscript, thus:

log_5(1/125) means



Then, let's begin:



Use the definition of logarithms:



Which means, for this problem:



Note that and recall that



Recall that , hence:




Solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism