Question

log
0.0009265 = 4.9668, log 9265 =?
​

Answer 1

Answer:

Let x=6.45×981.4.

Taking log on both sides

logx=log(6.45×981.4)

=log6.45+log981.4

=0.8096+2.9919 (using log table)

=3.8015

∴x=antilog(3.8015)=6331.0 (using antilog table)

Ans: 6331

Answer 2

Given,

$\[\log 0.0009265 = 4.9668\]$

$\[\log 9265 = ?\]$

Solution,

$\[\begin{array}{l} = \log 9265\\ = \log \left( {0.0009265 \times {{10}^{ - 7}}} \right)\\ = \log 0.0009265 + \log {10^{ - 7}}\\ = 4.9668 - 7\log 10\\ = 4.9668 - 7 \times 1\\ = 4.9668 - 7\\ = - 2.0332\end{array}\]$

Hence the value of $\[\log 9265\]$ is $\[ - 2.0332\]$