How do I add 3 logarithmic numbers together?

To add three logarithms with the same base:

log(a) + log(b) + log(c) = log(abc)

Example:

log10(2) + log10(3) + log10(5)

= log10(2 * 3 * 5)

= log10(30)

If the logarithms are already given as numbers:

1.3010 + 0.4771 + 0.6990

= 2.4771

Since:

log10(300) = 2.4771

the result corresponds to 300.

In general:

log(x) + log(y) + log(z) = log(x * y * z)

as long as all logs have the same base.

By Admin

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