Question

Expand the logarithm fully using the properties of logs. Express the final answer in

Answer 1

Answer:

P=log(2)+log(3)+4.log(x)

Step-by-step explanation:

To solve the problem, we need to recall the following properties of the logarithms:

$log(x.y)=log(x)+log(y)$

$log(x^y)=y.log(x)$

We have the expression:

$P=log(6x^4)$

Factor 6=2*3:

$P=log(2\cdot 3x^4)$

Apply the property of the product:

$P=log(2)+log(3)+log(x^4)$

Now apply the property of the exponent:

P=log(2)+log(3)+4.log(x)