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how to change base

 Aug 21, 2015

Best Answer 

 #1
avatar+5479 
+9

Assuming you refer to the change of base formula for logarithms:

 

Most calculators only determine logs with a base of 10. Ex: log1010000  = 4

 

To determine a log value with a different base, such as log28, you would use the change of base formula, which states that:

 

 

logax = logbx / logba

 

b in this case could be 10 (or e) to let you find the value on a calculator.

 

So log28

 

= log108 / log102

 

= 3

 

*On the website calculator, you could write in log28 as log(8,2) and get the same answer:)

 Aug 21, 2015
 #1
avatar+5479 
+9
Best Answer

Assuming you refer to the change of base formula for logarithms:

 

Most calculators only determine logs with a base of 10. Ex: log1010000  = 4

 

To determine a log value with a different base, such as log28, you would use the change of base formula, which states that:

 

 

logax = logbx / logba

 

b in this case could be 10 (or e) to let you find the value on a calculator.

 

So log28

 

= log108 / log102

 

= 3

 

*On the website calculator, you could write in log28 as log(8,2) and get the same answer:)

kitty<3 Aug 21, 2015

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