Question

If log 2 = 0.3010 then value of log 25 is

Answer 1

log 25=log5 + log5
=log (10/2)+log (10/2)
=(log 10-log 2)+(log 10-log 2)
=(1-0.3010)+(1-0.3010)
=0.6990+0.6990
=1.3980

Answer 2

Answer:

If $\log 2 = 0.3010$ , then the value of $\log 25=1.3980$

Step-by-step explanation:

Given : $\log 2 = 0.3010$

To find : The value of $\log 25$

Solution :

We can write the expression as

$\log 25=\log (5\times 5)$

$\log 25=\log 5+\log 5$

$\log 25=\log (\frac{10}{2})+\log (\frac{10}{2})$

$\log 25=(\log 10-\log 2)+(\log 10-\log 2)$

$\log 25=(1-0.3010)+(1-0.3010)$

$\log 25=0.6990+0.6990$

$\log 25=1.3980$

Therefore, If $\log 2 = 0.3010$ , then the value of $\log 25=1.3980$