Lösung 3.3:6a
Aus Online Mathematik Brückenkurs 1
The calculator does not have button for \displaystyle \log_{3}, but it does have one for the natural logarithm ln, so we need to rewrite \displaystyle \log_{3}4 in terms of ln.
If we go back to the definition of the logarithm, we see that \displaystyle \log _{3}4 is that number which satisfies
Now, take the natural logarithm of both sides,
Using the logarithm law, \displaystyle \lg a^b = b\lg a, the left-hand side can be written as \displaystyle \log_{3}4\cdot\ln 3 and the relation is
Thus, after dividing by \displaystyle \ln 3, we have
which gives 1.262 as the rounded-off answer.
Note: On the calculator, the answer is obtained by pressing the buttons
|
|
|
|
|
|
