Evaluate the function at the indicated value of $x = 281 ^ { 5 }$ . $g ( x ) = \log _ { 281 } x$
A)-5
B) $\frac { 1 } { 5 }$
C) $- \frac { 1 } { 5 }$
D)5
E)0

Question

Evaluate the function at the indicated value of $x = 281 ^ { 5 }$ .  $g ( x ) = \log _ { 281 } x$ 
A)-5
B) $\frac { 1 } { 5 }$
C) $- \frac { 1 } { 5 }$
D)5
E)0

Quizplus · Accepted Answer

The function $g(x) = \log_{281} x$ asks for the power to which the base (281) must be raised to produce the value of $x$. Given $x = 281^5$, we substitute this into the function to get $g(281^5) = \log_{281} (281^5)$. According to the logarithmic identity $\log_b(b^a) = a$, this simplifies to $5$, making the correct answer D.

Evaluate the Function at the Indicated Value Of x=2815x = 281 ^ { 5 }x=2815

Evaluate the Function at the Indicated Value Of $x = 281 ^ { 5 }$