Question

What is the calculator syntax for logarithms?
ex: imputing log base 4 of 16 What is the calculator syntax for logarithms?
ex: imputing log base 4 of 16 @Mathematics

Answer 1

if your calculator has a "log" button, just do:\[\frac{\log 16}{\log 4}\]that will calculate:\[\log_4 16\] for you.

Answer 2

which should be 2. because:\[\log_4 16 = x \iff 4^x = 16 \iff 4^x=4^2\iff x=2\]

Answer 3

ah...thanks. I knew that...and was hoping there was a quicker way. I have a TI-84, and I have to go to catalogue to find log(
thanks anyways.

Answer 4

or you could do:\[\log_4 16=\log_4 4^2 = 2\log_4 4 = 2\cdot 1 = 2\]

Answer 5

TI84s dont have that syntax capacity...thank you though.

Answer 6

The method describeed above is called Change of Bases.