How do you input log base 3 in a calculator? - Answers

Let y = log3 x⇒ x = 3yTaking logs to any base you like of both sides gives:log x = y log 3⇒ y = log x/log 3So to calculate log base 3 on a calculator, use either the [log] (common or log to base 10) or [ln] (natural or to base e) function key for the log above, that is use one of:[(] [log] [] [÷] [log] [3] [)][(] [ln] [] [÷] [ln] [3] [)][(] [] [log] [÷] [3] [log] [)][(] [] [ln] [÷] [3] [ln] [)]Things in square brackets [] represent keys on the calculator; the is the number of which you want the logarithm to base 3.Use one of 1 & 1 if your calculator is a more modern one that uses natural representation that looks like maths whereby the calculation is done once you've finished entering it all and the numbers for functions follow them.Use one of 3 & 4 if your calculator is an older style one that when you press a function key it acts immediately on the number displayed on the screen.The parentheses (round brackets) are included above so that the whole expression evaluates to log3.