Question

Simplify the following expression log(25x^3) +3log(1/x)

Answer 1

Answer:

The simplified form is $\log 25$

Step-by-step explanation:

We need to simplify the given expression

Given:- $log(25x^{3}+3log(\frac{1}{x})$

According to laws of logarithm : $b \log a = \log a^{b}$

So, $3 \log (\frac{1}{x}) = \log (\frac{1}{x^{3}})$

According to laws of logarithm : $\log a + \log b = \log a\times b$

So, $\log 25x^{3} + \log (\frac{1}{x})^{3} = \log 25x^{3}\times (\frac{1}{x^{3}})$

$=\log (\frac{25x^{3}}{x^{3}})}$

$=\log 25$

Therefore, the simplified form is $\log 25$

Answer 2

Answer:

= ㏒25

Step-by-step explanation:

log25x³ + 3log1/x

According to one of of the laws of logarithm which states : b log a = log a^b

So, 3 log 1/x = log (1/x)³

Another law states that : log a + log b = log a * b

So, log 25x³ +  log (1/x)³ = log (25x³) * (1/x)³

log (25x³)/x³

= log 25