Expand the Logarithmic Expression log of 10x^3y

$\log (10 x^{3} y)$

Step 1

Rewrite $\log (10 x^{3} y)$ as $\log (10 x^{3}) + \log (y)$ .

$\log (10 x^{3}) + \log (y)$

Step 2

Rewrite $\log (10 x^{3})$ as $\log (10) + \log (x^{3})$ .

$\log (10) + \log (x^{3}) + \log (y)$

Step 3

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

$\log (10) + 3 \log (x) + \log (y)$

Step 4

Logarithm base $10$ of $10$ is $1$ .

$1 + 3 \log (x) + \log (y)$