Question
If $\log 27 = 1.431,$ find the value of :$ \log 9$
✓
Answer
$ \log 27=1.431$
$ \Rightarrow \log 3 \times 3 \times 3=1.431$
$ \Rightarrow \log 3^3=1.431$
$ \Rightarrow 3 \log 3=1.431$
$ \Rightarrow \log 3=\frac{1.431}{3}$
$\Rightarrow \log 3=0.477\ldots(1)$
$ \log 9$
$ =\log (3 \times 3)$
$ =\log 32$
$ =2 \log 3$
$ =2 \times 0.477$
$ =0.954$
$ \Rightarrow \log 3 \times 3 \times 3=1.431$
$ \Rightarrow \log 3^3=1.431$
$ \Rightarrow 3 \log 3=1.431$
$ \Rightarrow \log 3=\frac{1.431}{3}$
$\Rightarrow \log 3=0.477\ldots(1)$
$ \log 9$
$ =\log (3 \times 3)$
$ =\log 32$
$ =2 \log 3$
$ =2 \times 0.477$
$ =0.954$
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