Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

Question

Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression  in terms of the logarithms of x and y.

Quizplus · Accepted Answer

Using the property that $\log_b(a\cdot c)=\log_ba+\log_bc$, we can rewrite the expression as $\log_x{y^{11}e^{b\cdot80b1_b03e_46ef_a291_8b2141c0bafe}}$. Using the property that $\log_b(a^c)=c \log_ba$, we can further simplify to $11\log_xy+b\cdot80b1_b03e_46ef_a291_8b2141c0bafe\log_xe = 11\log_xy+b\cdot80b1_b03e_46ef_a291_8b2141c0bafe\cdot\frac{1}{\ln x}$. This expression is in terms of the logarithms of $x$ and $y$, and the correct answer is therefore (B).

Assume That X, Y, and B Are Positive Numbers