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After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
The laws of logarithms. The three main laws are stated here: . First Law. log A + log B = log AB. . This law tells us how to add two logarithms together. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. For example, we can write. log10 5 + log10 4 = log10(5 × 4) = log10 20.
The laws of logarithms. The three main laws are stated here: . First Law. log A + log B = log AB. . This law tells us how to add two logarithms together. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. For example, we can write. log10 6 + log10 2 = log10(6 × 2) = log10 12.
After reading this text and / or viewing the video tutorial on this topic you should be able to: • explain what is meant by a logarithm • state and use the laws of logarithms • solve simple equations requiring the use of logarithms.
• state and use the laws of logarithms • solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms loga xy = loga x +loga y 4 6. The second law of logarithms loga xm = mlog a x 5 7.
When asked to solve a logarithmic equation such as or the first thing we need to decide is how to solve the problem. Some logarithmic problems are solved by simply dropping the logarithms while others are solved by rewriting the logarithmic problem in exponential form.
We use logarithms to write expressions involving powers in a different form. If you can work confi-dently with powers you should have no problems handling logarithms. Consider the statement. 100 = 102.
