SOLVED PROBLEMS ON LOGARITHMS

Problem 1 :

Find the logarithm of 1728 to the base 2√3.

Solution :

Problem 2 :

If the logarithm of 324 to base a is 4, then find a.

Solution :

Problem 3 :

Solution :

Problem 4 :

Solution :

Problem 5 :

Solution :

Problem 6 :

Compute : log₃5 ⋅ log₂₅27.

Solution :

Problem 7 :

Given that log₁₀2 = 0.30103, log₁₀3 = 0.47712 (approximately), find the number of digits in 2⁸ ⋅ 3¹².

Solution :

Problem 8 :

Solve for x :

Solution :

Problem 9 :

Evaluate :

Solution :

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