4. Logarithms to Base 10

by M. Bourne

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Logarithms to Base 10 were used extensively for calculation up until the calculator was adopted in the 19070s and 80s. The concept of logarithms is still very important in many fields of science and engineering. One example is acoustics.

log

Our calculators allow us to use logarithms to base 10. These are called common logarithms ("log" on a calculator). We normally do not include the 10 when we write logarithms to base 10.

We write

log x to mean log10 x.

Examples

1. Find the logarithm of 5 623 to base 10. Write this in exponential form.

2. Find the antilogarithm of -6.9788

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