1
###
If log log2 (5 + log3 a) = 3 and log5 (4a + 12 + log2 b) = 3

If log log_{2} (5 + log_{3} a) = 3 and log_{5} (4a + 12 + log_{2} b) = 3, then a + b is equal to

- 67
- 40
- 32
- 59

2
###
Log (40^2-20^2) is equal to

Log (40^{2} - 20^{2}) is equal to

- log 3
- log 60 + log 20
- log 40 – log 20
- log 20

3
###
If log25 5 = a and log25 15 = b, then the value of log25 27 is

If log_{25} 5 = a and log_{25} 15 = b, then the value of log_{25} 27 is

- 3(b+a)
- 3(1-b-a)
- 3(a+b-1)
- 3(1-b+a)

4
###
What is the solution of the equation x log10 (10/3) + log10 3

What is the solution of the equation

x log_{10} (10/3) + log_{10} 3 = log_{10} (2 + 3^{x}) + x?

- 10
- 3
- 1
- 0

5
###
If x is a real number such that log3 5 = log5 (2 + x)

If x is a real number such that log_{3} 5 = log_{5} (2 + x), then which of the following is true?

- 0 < x < 3
- 23 < x < 30
- x > 30
- 3 < x < 23

6
###
If log3 2, log3 (2^x - 5), log3 (2^x - 7/2) are in arithmetic progression

If log_{3} 2, log_{3} (2^{x} - 5), log_{3} (2^{x} - 7/2) are in arithmetic progression, then the value of x is equal to

- 2
- 3
- 4
- 5

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If log log2 (5 + log3 a) = 3 and log5 (4a + 12 + log2 b) = 3