Question

if log2 = 0.3010 then the value of log 25​

Answer 1

$\mathfrak{The\:Answer\:is}$

Log(2) = 0.3010 --> log(1/2) = log(1) - log(2) = 0 - 0.301

log(0.5) = -0.301

log(5) = log(0.5) + log(10) = 0.699

log(25) = 2log(5) = 1.398

$\boxed{Hope\:This\:Helps}$

Answer 2

Answer :

If $\log 25 = 1.3980$

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 $\log 25=1.3980$