Math Snap

STEP 1

1. We need to express $\log_{2}(7)$ using the change of base formula.
2. We can choose to convert it to either base 10 logarithm (log) or natural logarithm (ln).

STEP 2

1. Apply the change of base formula to $\log_{2}(7)$.
2. Express the result using either log base 10 or log base e.

STEP 3

Apply the change of base formula, which states:
$$\log_{b}(a) = \frac{\log_{k}(a)}{\log_{k}(b)}$$ where $k$ is the new base. Here, $b = 2$ and $a = 7$.

STEP 4

Choose to express $\log_{2}(7)$ using log base 10:
$$\log_{2}(7) = \frac{\log(7)}{\log(2)}$$

Alternatively, express $\log_{2}(7)$ using natural logarithm (ln):
$$\log_{2}(7) = \frac{\ln(7)}{\ln(2)}$$ The expression $\log_{2}(7)$ can be written as either $\frac{\log(7)}{\log(2)}$ or $\frac{\ln(7)}{\ln(2)}$.