PROBLEMS ON EVALUATING LOGARITHMIC EXPRESSIONS

Problems 1-5 : Find the value of the given expression.

Problem 1 :

Solution :

Problem 2 :

Solution :

Problem 3 :

Solution :

Problem 4 :

Solution :

Problem 5 :

Solution :

Problem 6 :

Find the logarithm of 5832 to the base 3√2.

Solution :

Problem 7 :

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

Solution :

Problem 8 :

Find the logarithm of 64 to the base 2√2.

Solution :

Problem 9 :

Find the value of log₁₀(5), if log₁₀(2) = 0.3010.

Solution :

Problem 10 :

If a = log_x(yz), b = log_y(xz) and c = log_z(xy), evaluate the following expression.

Solution :

Problem 11 :

Find the value of log₈(25), if log₁₀(2) = 0.3010.

Solution :

Problem 12 :

Find the value of log₄(10), if log₈(5) = 0.774.

Solution :

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