Question

Apply the law of logarithms to expand when is less than 6.

Answer 1

To expand the logarithm when x is less than 6, apply the law of logarithms which states that log(xy) = log(x) + log(y).

Step-by-step explanation:

To expand $\log_{b}(x)$ when $x$ is less than 6, we can use the law of logarithms which states that $\log_{b}(xy) = \log_{b}(x) + \log_{b}(y)$. Let's assume $b$ is 10 for simplicity.

If $x$ is less than 6, we can write it as $x=6 \times \left(\frac{x}{6}\right)$. Applying the law of logarithms to this expression, we have $\log_{10}(x) = \log_{10}(6) + \log_{10}\left(\frac{x}{6}\right)$. This allows us to expand $\log_{10}(x)$ when $x$ is less than 6.