The question is kind of all over the place. Can you clear it up a bit because it sound to me that all you have to do is simple addition and subtraction hun.

3 0

3 years ago

Write ln 2x + 2x ln x -ln 3y as a single logarithm.

andreev551 [17]

Answer: option c.

Step-by-step explanation:

To solve this problem you must keep on mind the properties of logarithms:

$ln(b)-ln(a)=ln(\frac{b}{a})\\\\ln(b)+ln(a)=ln(ba)\\\\a*ln(b)=ln(b)^a$

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

$ln2x+2lnx-ln3y=ln2x+lnx^2-ln3y\\\\=ln(2x)(x^2)-ln3y\\\\=ln(\frac{2x^3}{3y})$

Therefore, the answer is the option c.

7 0

3 years ago

Read 2 more answers

12 (2 -2)+32 = (x +6) +2

Anestetic [448]

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Remove parentheses.

12 (2 − 2) + 32 = $x$ + 6 + 2

Step 2: Simplify 2 − 2 to 0.

12 × 0 + 32 = $x$ + 6 + 2

Step 3: Simplify 12 × 0 to 0.

0 + 32 = $x$ + 6 + 2

Step 4: Simplify 0 + 32 to 32.

32 = $x$ + 6 + 2

Step 5: $x$ + 6 + 2 to $x$ + 8.

32 = $x$ + 8

Step 6: Subtract 8 from both sides.

32 − 8 = $x$

Step 7: Simplify 32 − 8 to 24.

24 = $x$

Step 8: Switch sides.

$x$ = 24

~I hope I helped you! :)~

8 0

3 years ago

Read 2 more answers