You can
put this solution on YOUR website! How do you evaluate
1. log base is 12 544 ? do I divide 544 by 12?
No.
Let the answer be x
log12544 = x
Rewrite using rule: logBA = C can be rewritten BC = A
12x = 544
Take logs base 10 of both sides
log1012x = log10544
Use rule: logBAC = C*logBA
x*log1012 = log10544
Divide both sides by log1012
x*log1012 log10544
----------- = ----------
log1012 log1012
1
x*log1012 log10544
----------- = ----------
log1012 log1012
1
log10544
x = ----------
log1012
Get your calculator and use the LOG key
to figure the right side:
x = 2.534883653
2. log base .5 24?
It's done the same way. Answer: -4.584962501
Quicker way:
logBC = log10C/log10B
Edwin
