31). Simplify: \( \Large log_{10} \left(\frac{55}{46}\right)-log_{10} \left(\frac{65}{69}\right)+log_{10} \left(\frac{26}{33}\right) \)
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32). Find the value of \( \Large \frac{log_{10}400}{log_{10}4} \)
A). 4 |
B). 2 |
C). 100 |
D). 6 |
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33). Find the value of \( \Large 3-2log_{5}3 \)
A). \( \Large log_{5} \left(13\frac{8}{9}\right) \) |
B). \( \Large log_{5}9 \) |
C). \( \Large log_{5} \left(\frac{9}{8}\right) \) |
D). None of these |
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34). Find the value of \( \Large \frac{3log2+2log3}{2log6+log2} \)
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35). Find the value of \( \Large \frac{log16-2log2+5log3-log27}{log4+log9} \)
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36). If log3=.4771, log5=.6990, then find the value of log150
A). 2.1761 |
B). 2.1671 |
C). 2 |
D). 1.1761 |
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37). \( \Large logx^{2}+logy^{2} \) is
A). \( \Large log \left(x^{2}+y^{2}\right) \) |
B). \( \Large 2log \left(x+y\right) \) |
C). \( \Large 2log \left(xy\right) \) |
D). \( \Large log\frac{x^{2}}{y^{2}} \) |
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38). \( \Large \left(log_{b}a \times log_{c}b \times log_{a}c\right) \) is equal to
A). 0 |
B). 1 |
C). abc |
D). a+b+c |
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