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 …

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

The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.

Nov 6, 2024 · The following free guide to the Log Rules shares and explains the rules of logs (including exponent log rules), what they represent, and, most importantly, how you can use them to simplify a …

The log rules are very helpful in simplifying the logarithms. These rules are applied in the same manner for both natural logs and common logs. Learn more about logarithm rules along with examples.

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

For example the result for 2 x = 5 can be given as a logarithm, x = log 2 (5) . You will learn how to evaluate this logarithmic expression over the following lessons.

The log calculator is a free and easy-to-use tool that makes the logarithm calculation easier and faster. In addition, it allows you to add, subtract, multiply, and divide two logs.

The exponent of a number says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8.

Jan 13, 2026 · Out of all these log rules, three of the most common are product, quotient, and power rules. These laws are crucial in many mathematical and scientific applications, making logarithms a …