Question

log2.25 =? find if log2=0.3010,log3=0.4771​

Answer 1

$\huge{\color{blue}{\underline{\underline{Solution:-}}}}$

log2=0.3010 and log3=0.4771

$\bf log25=log(5×5)$

$\bf :\implies log5+log5$

$\bf :\implies log(\dfrac{10}{2})+log(\dfrac{10}{2})$

$\bf :\implies log10−log2+log10−log2$

We know log10=1

$\bf :\implies 1−0.3010+1−0.3010$

$\bf :\implies 2−0.6020$

$\bf :\implies 1.398$