Assume that x is a positive number.Use the properties of logarithms to write the expression ? Log_b (x + 8)- log_b x as the logarithm of one quantity. ? A) $\log _ { b } \frac { x ^ { 2 } + 8 } { x }$ B) $\log _ { b } \frac { x + 8 } { x }$ C) $\log _ { b } \frac { x - 8 } { x }$ D) $\log _ { b } \frac { x ^ { 2 } + 8 } { 8 }$ E)log_b (x² - 8x)

Question

Quizplus · Accepted Answer

The properties of logarithms state that $\log_b(a) - \log_b(c) = \log_b\left(\frac{a}{c}\right)$. Applying this to the given expression, we get $\log_b\left(\frac{x + 8}{x}\right)$.

Assume That X Is a Positive Number log⁡bx2+8x\log _ { b } \frac { x ^ { 2 } + 8 } { x }logb​xx2+8​

Assume That X Is a Positive Number $\log _ { b } \frac { x ^ { 2 } + 8 } { x }$