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2 multiple choice 1 point rewrite the expression in logarithmic form. $…

Question

2 multiple choice 1 point rewrite the expression in logarithmic form. $2^{-3}=0.125$ $\log_{-3}2 = 0.125$ $\log_{2}0.125=-3$ $\log_{0.125}2=-3$ $\log_{2}-3 = 0.125$

Explanation:

Step1: Recall log-exponential conversion rule

For $b^y = x$, $\log_b x = y$ (where $b>0, b
eq1$)

Step2: Match given values to the rule

Given $2^{-3}=0.125$, here $b=2$, $y=-3$, $x=0.125$

Step3: Substitute into logarithmic form

$\log_{2} 0.125 = -3$

Answer:

B. $\log_{2} 0.125 = -3$