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Basic of Logarithms
easy
જો ${\log _{10}}x = y,$ તો ${\log _{1000}}{x^2}= . . .$ .
A
${y^2}$
B
$2y$
C
${{3y} \over 2}$
D
${{2y} \over 3}$
Solution
(d) ${\log _{1000}}{x^2} = {\log _{{{10}^3}}}{x^2} = 2{\log _{{{10}^3}}}x = {2 \over 3}{\log _{10}}x = {2 \over 3}y$.
Standard 11
Mathematics
