SOLUTION: Find the logarithm using the change-of base formula.Round to the nearest ten-thousandth. log5 0.389

Algebra ->  Inequalities -> SOLUTION: Find the logarithm using the change-of base formula.Round to the nearest ten-thousandth. log5 0.389      Log On


   

Question 328873: Find the logarithm using the change-of base formula.Round to the nearest ten-thousandth. log5 0.389
Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Find the logarithm using the change-of base formula.Round to the nearest ten-thousandth. log%285%2C%280.389%29%29

Change of base formula:

log%28GIVEN_BASE%2C%28EXPRESSION%29%29%22%22=%22%22log%28NEW_BASE%2C%28EXPRESSION%29%29%2Flog%28NEW_BASE%2C%28GIVEN_BASE%29%29

Let the GIVEN BASE be 5 and the NEW BASE be 10 (the calculator's log base).

log%285%2C%280.389%29%29%22%22=%22%22log%2810%2C%280.389%29%29%2Flog%2810%2C%285%29%29

Then get the calculator and find those logs

log%285%2C%280.389%29%29%22%22=%22%22log%2810%2C%280.389%29%29%2Flog%2810%2C%285%29%29

log%285%2C%280.389%29%29%22%22=%22%22%28-.4100503987%29%2F.6989700043

log%285%2C%280.389%29%29%22%22=%22%22-.586649493

Edwin

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%28++0.389%29%29=log%2810%2C%280.389%29%29%2Flog%2810%2C%285%29%29
Time to get out the calculator.