Question

expand log a2 b3/c4​

Answer 1

Given:

$\log \dfrac{a^2b^3}{c^4}$

We have to expand the value of $\log \dfrac{a^2b^3}{c^4}$ is:

Solution:

∴ $\log \dfrac{a^2b^3}{c^4}$

Using the logarithm identity:

$\log \dfrac{m}{n}$ = $\log m$ - $\log n$

= $\log (a^2b^3)-\log c^4$

Using the logarithm identity:

$\log mn$ = $\log m$ + $\log n$

= $\log a^2+\log b^3-\log c^4$

Using the logarithm identity:

$\log m^n$ = $n\log m$

= $2\log a+3\log b-4\log c$

∴ The expandation of $\log \dfrac{a^2b^3}{c^4}$= $2\log a+3\log b-4\log c$

Thus, the expandation of $\log \dfrac{a^2b^3}{c^4}$is equal to "$2\log a+3\log b-4\log c$".