Question(1 point) If you rewrite the expression $$\log _{2} x+5 \log _{2} y-4 \log _{2} z$$ as a single logarithm $\log _{2} A$, then: $$A=$$ help (formulas)

Studdy Solution
Use the quotient rule of logarithms, which states that $\log_b m - \log_b n = \log_b \left(\frac{m}{n}\right)$, to combine the result with the third term:
$$\log_{2} (x \cdot y^5) - \log_{2} (z^4) = \log_{2} \left(\frac{x \cdot y^5}{z^4}\right)$$
The expression as a single logarithm is:
$$A = \frac{x \cdot y^5}{z^4}$$