Question

expand log (p²q³/r⁴)​

Answer 1

Step-by-step explanation:

log (p²q³/r⁴)

=log p²+log q³_ log r ⁴

= 2 log p+3 log q _ 4 log r

Answer 2

Answer:

2logp + 3logq -4logr is the required answer.

Step-by-step explanation:

Explanation:

Given , log ($\frac{p^2q^3}{r^4}$)

As we know , log $\frac{a}{b}$ = log a  - log b

Therefore , log$p^2q^3$ - log $r^4$

Now , again by the property of log ,

Log(ab) = loga + logb

and  $loga^b$ = b loga  

Similarly ,  log$p^2q^3$ - log $r^4$ can be written as ,

log$p^2 +logq^3$ - $logr^4$              [ $loga^b$ = b loga ]

⇒2logp + 3logq -4logr .

Final  answer :

Hence , 2logp + 3logq -4logr  is the expansion of log ($\frac{p^2q^3}{r^4}$) .

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