Question

log p2q3/r expand it​

Answer 1

Given:

$\log \dfrac{p^2q^3}{r}$

We have to expand the value of $\log \dfrac{p^2q^3}{r}$ is:

Solution:

∴ $\log \dfrac{p^2q^3}{r}$

Using the logarithm identity:

$\log \dfrac{a}{b}$ = $\log a$ - $\log b$

= $\log (p^2q^3)-\log r$

Using the logarithm identity:

$\log ab$ = $\log a$ + $\log b$

= $\log p^2+\log q^3-\log r$

Using the logarithm identity:

$\log a^m$ = $m\log a$

= $2\log p+3\log q-\log r$

∴ The expandation of $\log \dfrac{p^2q^3}{r}$ = $2\log p+3\log q-\log r$

Thus, the expandation of $\log \dfrac{p^2q^3}{r}$ is equal to "$2\log p+3\log q-\log r$".

Answer 2

Step-by-step explanation:

please follow me

hope it help u