Question

Expand log 75/25 lcm method

Answer 1

Answer:

0.477

Step-by-step explanation:

As per the given question,

We have been provided the equation

$log\frac{75}{25}$ which we have to expand.

Now using the properties of factorization, we get

$log\frac{75}{25}$

$=log\frac{(3\times 5\times 5)}{(5\times 5)}$

Now by using the identity of logarithm that is:

$log(x\times y)=log x+logy$

And,

$log\frac{x}{y}=logx-logy$

Therefore, on further solving using this identity,we get,

$=log3+log5+log5-log5-log5$

$=log3$

$= 0.477$

Hence the required value of $log\frac{75}{25}$ is 0.477.