if logab+logba=loga+b,then a + b = 1 a - b = 1 a = b ab=1 i f log a b + log b a

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Correct Answer

a + b = 1

Explanation

$i f \log \frac{a}{b} + \log \frac{b}{a} = \log (a + b), t h e n$

$\log (a + b) = \log (\frac{a}{b} � \frac{b}{a}) = \log 1$

so, a+b=1

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Logarithm problems

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1. What is the number of digits in 333 ? Given that log3 = 0.47712?
Options
A. 12
B. 13
C. 14
D. 15

3. The value of 1log360+1log460+1log560is
Options
A. 0
B. 1
C. 5
D. 60

4. A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.
Options
A. 100 m
B. 125 m
C. 150 m
D. 175 m

5. If log 64 = 1.8061, then the value of log 16 will be (approx)?
Options
A. 1.9048
B. 1.2040
C. 0.9840
D. 1.4521

8. For x?N, x>1 , and p=logxx+1 , q=logx+1x+2 then which one of the following is correct?
Options
A. p < q
B. p = q
C. p > q
D. can't be determined

9. if log105+log5x+1=log10(x+5)+1,then x is equal to
Options
A. 1
B. 3
C. 5
D. 10

10. What is the characteristic of the logarithm of 0.0000134?
Options
A. 5
B. -5
C. 6
D. -6

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