It’s easier for us to evaluate logs of base 10 or base e, because calculators usually have log and ln buttons for these. When the base is anything other than 10 or e, we can use the change of base formula.
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Product, quotient, and power rules for logarithms, as well as the general rule for logs, can all be used together, in any combination, in order to solve problems with natural logs.
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When there’s no base on the log, it means we’re dealing with the common logarithm, which always has a base of 10. Any logarithm with base e is a natural logarithm, and we write the log with ln instead of log.
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