The value of log2log5625 is : 2 5 10 15

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Logarithm problems

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1. The value of x satisfying the following relation: log12x = log23x-2
Options
A. 1/3
B. -1/3
C. 3
D. None of these

2. Find x if log1218 = log24x + 1. log24x+1 + 4
Options
A. 0
B. 1
C. 2
D. None of these

5. The Value of logtan10+logtan20+??+logtan890 is
Options
A. -1
B. 0
C. 1/2
D. 1

Correct Answer: 0

Explanation:

$= [\log \tan (1^{0}) + \log \tan (89^{0})] + [\log \tan (2^{0}) + \log \tan (88^{0})] + ? ? + [\log \tan (45^{0})]$

$= \log [\tan (1^{0}) � \tan (89^{0})] + \log [\tan (2^{0}) � \tan (88^{0})] + ? ? + \log (1)$

$[? \tan (90 - ?) = c o t ? a n d \tan (45^{0}) = 1]$

= log 1 + log 1 +.....+log 1

= 0.

7. If a, b, c be the pth, qth and rth terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :
Options
A. 0
B. 1
C. -1
D. pqr

10. If A = log321875 and B = log2432187 , then which one of the following is correct?
Options
A. A
B. A=B
C. A>B
D. can't be determined

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