Question

The mantissa of $\log 7623$ is ${}^{.}8821259;$ write down the logarithms of $7{}^{.}623,762{}^{.}2,{}^{.}007623,762300,{}^{.}000007623.$

Answer 1

$\log 7.623=0.8821259$

$\log 762.3=2+0.8821259=2.8821259$

$\log 0.007623=0.8821259-3=1.1178741$

$\log 762300=5+0.8821259=5.8821259$

$\log 0.000007623=0.8821259-5=4.1178741$