Write the expression 2/3 [ln(x) + ln(x^3-2) -ln(x+4)] as a logarithm of a single quantity.

1 answer:

5 0

Lnx+lny=ln(xy)
lnx-lny=ln(x/y)
xlny=ln(y^x)

(2/3)(lnx+ln(x^3-2)-ln(x+4))=
(2/3)(ln((x)(x^3-2))-ln(x+4))=
(2/3)( $\frac{ln((x)(x^3-2))}{ln(x+4)}$ =
( $\frac{2ln((x^4-2x))}{3ln(x+4)}$ =
( $\frac{ln((x^3-2x)^2)}{ln((x+4)^3)}$

You might be interested in

An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do th

irina [24]

Answer:

22500000000

Step-by-step explanation:

75,000 times 300,000 equals 22500000000

4 0

2 years ago

Math help please thanks

Pepsi [2]

For most of these questions, all you would have to do is add the angles together and or subtract the larger angle from the smaller one to find the other angle. So in the first case.

You would add the angles, 26 degrees and 60 degrees to find the angle KLM which is about 90 degrees a right angle, in this case it would be 86 degrees.

Similarly, for the other question, take the larger angle, 145 degrees and subtract 61 degrees to solve for the angle that will also add to give 145 degrees,in this case it would be 84 degrees.

3 0

2 years ago

2 cups of milk on 1/2 a quart of milk how many cups 1 quart of milk?

Wewaii [24]

Answer:

4 cups

Step-by-step explanation:

because if you have 2 cups for a half a quart then add another half which means add 2 more cups 2+2=4 cups

4 0

2 years ago

X/3/8 = 24<br> put answer as whole number

rewona [7]