0.001=(1/8)^n n?

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0.001=(1/8)^n n?

Guest Jun 3, 2015

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Best Answer

$$\\0.001=(1/8)^n\\\\
0.001=8^{-n}\\\\
log(0.001)=log{8^{-n}}\\\\
-3=-nlog8\\\\
3=nlog8\\\\
3/log8=n\\\\$$

$${\frac{{\mathtt{3}}}{{log}_{10}\left({\mathtt{8}}\right)}} = {\mathtt{3.321\: \!928\: \!094\: \!887\: \!362\: \!7}}$$

Melody Jun 3, 2015

Melody · Answer 1 · 2015-06-03T02:16:13

$$\\0.001=(1/8)^n\\\\
0.001=8^{-n}\\\\
log(0.001)=log{8^{-n}}\\\\
-3=-nlog8\\\\
3=nlog8\\\\
3/log8=n\\\\$$

$${\frac{{\mathtt{3}}}{{log}_{10}\left({\mathtt{8}}\right)}} = {\mathtt{3.321\: \!928\: \!094\: \!887\: \!362\: \!7}}$$

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