Processing Math: 48%
3.3 Übungen
Aus Online Mathematik Brückenkurs 1
Übungen |
Übung 3.3:1
What is
a) | | b) | |
c) | | d) | |
Übung 3.3:2
Calculate
a) | | b) | | c) | | d) | |
e) | | f) | | g) | | h) | |
Übung 3.3:3
Calculate
a) | | b) | | c) | |
d) | \displaystyle \log_3{\left(9\cdot3^{1/3}\right)} | e) | \displaystyle 2^{\log_{\scriptstyle2}{4}} | f) | \displaystyle \log_2{4}+\log_2{\displaystyle \frac{1}{16}} |
g) | \displaystyle \log_3{12}-\log_3{4} | h) | \displaystyle \log_a{\bigl(a^2\sqrt{a}\,\bigr)} |
Übung 3.3:4
Simplify
a) | \displaystyle \lg{50}-\lg{5} | b) | \displaystyle \lg{23}+\lg{\displaystyle \frac{1}{23}} | c) | \displaystyle \lg{27^{1/3}}+\displaystyle \frac{\lg{3}}{2}+\lg{\displaystyle \frac{1}{9}} |
Übung 3.3:5
Simplify
a) | \displaystyle \ln{e^3}+\ln{e^2} | b) | \displaystyle \ln{8}-\ln{4}-\ln{2} | c) | \displaystyle (\ln{1})\cdot e^2 |
d) | \displaystyle \ln{e}-1 | e) | \displaystyle \ln{\displaystyle \frac{1}{e^2}} | f) | \displaystyle \left(e^{\ln{e}}\right)^2 |
Übung 3.3:6
Use the calculator on the right to calculate the following to three decimal places. (The button LN signifies the natural logarithm with base e):
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