The abbreviation log x is often used when the intended base can be inferred based on the context or discipline, or when the base is indeterminate or immaterial.

Log z = ln (r) + i (θ+2nπ) = ln (√ (x2 + y2)) + i ·arctan (y/x)) Logarithm problems and answers Problem #1 Find x for log 2 (x) + log 2 (x -3) = 2 Solution: Using the product rule: log 2 (x∙ (x -3)) = 2 Changing …

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

Jan 24, 2026 · If you know that bx = y (where b is the base, x is the exponent, and y is the result), it means that you have to raise "b" to the power "x" to obtain the result "y", then by using logarithm we …

All terms on top of the fraction inside the logarithm are positive and the log (y 5) is subtracted since it has been divided inside the logarithm. We can then use the power law of logarithms to bring down …

Most calculators have buttons for natural logarithms (ln) and common logarithms (log or log10), but not all calculators have buttons for the logarithm of an arbitrary base.

May 10, 2026 · Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

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