Problem: When simplified log8÷log18\log 8 \div \log \dfrac{1}{8}log8÷log81 becomes:
Answer Choices:
A. 6log26 \log 26log2
B. log2\log 2log2
C. 111
D. 000
E. −1-1−1 Solution:
log8÷log18=log8÷(log1−log8)\log 8 \div \log \dfrac{1}{8} =\log 8 \div(\log 1-\log 8)log8÷log81=log8÷(log1−log8) =log8÷(−log8)=−1=\log 8 \div(-\log 8)=-1=log8÷(−log8)=−1