Evaluate the function at the indicated value of $x = b ^ { - 7 }$ . $g ( x ) = \log _ { b } x$
A)7
B)0
C) $\frac { 1 } { 7 }$
D)-7
E) $- \frac { 1 } { 7 }$

Name: Evaluate the function at the indicated value of $x = b ^ { - 7 }$ . $g ( x ) = \log _ { b } x$ A)7 B)0 C) $\frac { 1 } { 7 }$ D)-7 E) $- \frac { 1 } { 7 }$
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Question

Evaluate the function at the indicated value of $x = b ^ { - 7 }$ .​ $g ( x ) = \log _ { b } x$ ​
A)7
B)0
C) $\frac { 1 } { 7 }$
D)-7
E) $- \frac { 1 } { 7 }$

Quizplus · Accepted Answer

The function $g(x) = \log_b x$ evaluated at $x = b^{-7}$ gives $g(b^{-7}) = \log_b (b^{-7})$. The logarithm of a number to its own base is the exponent, so $\log_b (b^{-7}) = -7$.

Evaluate the Function at the Indicated Value Of x=b−7x = b ^ { - 7 }x=b−7

Evaluate the Function at the Indicated Value Of $x = b ^ { - 7 }$