Algebra Examples

$\log (a^{4} b^{3} c^{2} d)$

Step 1

Rewrite $\log (a^{4} b^{3} c^{2} d)$ as $\log (a^{4} b^{3} c^{2}) + \log (d)$ .

$\log (a^{4} b^{3} c^{2}) + \log (d)$

Step 2

Rewrite $\log (a^{4} b^{3} c^{2})$ as $\log (a^{4} b^{3}) + \log (c^{2})$ .

$\log (a^{4} b^{3}) + \log (c^{2}) + \log (d)$

Step 3

Rewrite $\log (a^{4} b^{3})$ as $\log (a^{4}) + \log (b^{3})$ .

$\log (a^{4}) + \log (b^{3}) + \log (c^{2}) + \log (d)$

Step 4

Expand $\log (a^{4})$ by moving $4$ outside the logarithm.

$4 \log (a) + \log (b^{3}) + \log (c^{2}) + \log (d)$

Step 5

Expand $\log (b^{3})$ by moving $3$ outside the logarithm.

$4 \log (a) + 3 \log (b) + \log (c^{2}) + \log (d)$

Step 6

Expand $\log (c^{2})$ by moving $2$ outside the logarithm.

$4 \log (a) + 3 \log (b) + 2 \log (c) + \log (d)$