How do you convert to log base 10?

To convert a logarithm to base 10, you can use the change of base formula. This formula states that:

log_b(a) = log₁₀(a) / log₁₀(b)

Where:

• a is the number you want to take the logarithm of.
• b is the base you are converting from.

For example, to convert log₂(8) to base 10, you would do:

1. Calculate log₁₀(8).
2. Calculate log₁₀(2).
3. Divide these two results: log₂(8) = log₁₀(8) / log₁₀(2).

This method can be used for any logarithm base. It is particularly useful when you want to express logarithms in a format that is compatible with calculators that may only provide log base 10 or natural logarithm (base e).