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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms1 Mark
Question
If $\frac{\log 49}{\log 7}=\log y$, then $y=100$
✓

Answer

True. 
$ \frac{\log 49}{\log 7}=\log y $
$ \Rightarrow \frac{\log 7^2}{\log 7}=\log y $
$ \Rightarrow \frac{2 \log 7}{\log 7}=\log y $
$ \Rightarrow 2(1)=\log y $
$ \Rightarrow 2 \log _{10} 10=\log _y $
$ \Rightarrow \log _{10} 10^2=\log _{10} y $
$ \Rightarrow \log _{10} 100=\log _{10} y $
$\Rightarrow y=100 .$

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