Question 1

What is a logarithm?

Accepted Answer

log_b(x) answers: "to what power must b be raised to get x?" E.g. log₁₀(100) = 2, because 10² = 100.

Question 2

What is the difference between log and ln?

Accepted Answer

log (or log₁₀) is the base-10 logarithm. ln is the natural logarithm with base e ≈ 2.71828. ln is used in growth and compound interest calculations.

Question 3

What is the change of base formula?

Accepted Answer

log_b(x) = ln(x) / ln(b) = log(x) / log(b). This lets you calculate any base logarithm using any other.

Question 4

What is an antilogarithm?

Accepted Answer

The antilogarithm is the inverse of the logarithm. 10^x is the antilog of log₁₀, e^x is the antilog of ln.

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