Logarithms

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

If log log2 (5 + log3 a) = 3 and log5 (4a + 12 + log2 b) = 3, then a + b is equal to

1. 67
2. 40
3. 32
4. 59

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

Log (402 - 202) is equal to

1. log 3
2. log 60 + log 20
3. log 40 – log 20
4. log 20

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

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

1. 3(b+a)
2. 3(1-b-a)
3. 3(a+b-1)
4. 3(1-b+a)

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

What is the solution of the equation
x log10 (10/3) + log10 3 = log10 (2 + 3x) + x?

1. 10
2. 3
3. 1
4. 0

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

If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?

1. 0 < x < 3
2. 23 < x < 30
3. x > 30
4. 3 < x < 23

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

If log3 2, log3 (2x - 5), log3 (2x - 7/2) are in arithmetic progression, then the value of x is equal to

1. 2
2. 3
3. 4
4. 5