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# Change of Base

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How do I change the base of a logarithm in the calculator?

For example, if I want to calculate log3(5), how do I set my logarithm base to 3?

Aug 27, 2019

### 4+0 Answers

#1
+111329
+2

On our calculator, type

log (5, 3)     and hit  the  " = " key

This is the evaluation of  log 3 5

Aug 27, 2019
#2
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um, CPhill is answering it and I'm sure his answer is more qualified.

But, you would basically put the normal log_2(5) on the numerator and log_2(3) on the denominator which is:

$$\frac{log_2(5)}{log_2(3)} \\OK\ so\ I\ used\ the\ change\ of\ base\ formula\ to\ do\ this... \\ \frac{log(5)}{log(3)} (simplify)$$

And you would enter that into your calculator.

(log(5))/(log(3))

But if you want to find out more about the change of base formula, I would suggest KhanAcdemy if you are not familiar with it...

link:

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:change-of-base/a/logarithm-change-of-base-rule-intro

Aug 27, 2019
edited by tommarvoloriddle  Aug 27, 2019
edited by tommarvoloriddle  Aug 27, 2019
edited by tommarvoloriddle  Aug 27, 2019
#3
+111329
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Your answer is as good as mine, Tom.....the change-of-base works well, too.....

CPhill  Aug 27, 2019
#4
+1695
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The title was the change of base...

So I thought it was something like that

tommarvoloriddle  Aug 27, 2019
edited by tommarvoloriddle  Aug 27, 2019