#1**+9 **

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

Most calculators only determine logs with a base of 10. Ex: log_{10}10000 = 4

To determine a log value with a different base, such as log_{2}8, you would use the change of base formula, which states that:

log_{a}x = log_{b}x / log_{b}a

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

So log_{2}8

= log_{10}8 / log_{10}2

= 3

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

kitty<3 Aug 21, 2015

#1**+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: log_{10}10000 = 4

To determine a log value with a different base, such as log_{2}8, you would use the change of base formula, which states that:

log_{a}x = log_{b}x / log_{b}a

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

So log_{2}8

= log_{10}8 / log_{10}2

= 3

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

kitty<3 Aug 21, 2015