$\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}$

The applicable rules of logarithms are ...

log(ab) = log(a) +log(b)

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

3 0

3 years ago

Round 789,091 to nearest ten thousand

irakobra [83]

790,000

I believe b/c 89,000 rounds to 90,000

7 0

4 years ago

Read 2 more answers

Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground. How high up the wall does the ladd

Vesna [10]

Answer:

75 shay

Step-by-step explanation:

5 0

2 years ago

Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of what the dog eats. What fraction of a cup does his cat eat?

satela [25.4K]

Answer:

3/32 of a cup of food

Step-by-step explanation:

Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of that.

This comes out to (1/8)th of (3/4 cup), or:

1 3

----- · ----- cup = 3/32 cup

8 4

The cat eats 3/32 of a cup of food.

7 0

4 years ago