Logarithms

log12 81 = p, then 3[(4-p)/(4+p)] is equal to

log₁₂ 81 = p, then 3[(4-p)/(4+p)] is equal to

log₄ 16
log₆ 8
log₆ 16
log₂ 8

If x is a positive quantity such that 2x = 3^log5 2, then x is equal to

If x is a positive quantity such that 2^x = 3^{log₅ 2}, then x is equal to

1 + log₃ 5/3
log₅ 8
1 + log₅ 3/5
log₅ 9

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

67
40
32
59

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

Log (40² - 20²) is equal to

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

3(b+a)
3(1-b-a)
3(a+b-1)
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 + 3^x) + x?

10
3
1
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?

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

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

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

2
3
4
5