The logarithmic expression ![\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%5Crm%20log_w%5Cdfrac%7B%28x%5E2-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
can be expressed as 
.
Given to us
<h3>Which expression is equivalent to
?</h3>
To solve the problem we will use the basic logarithmic properties,
Using the logarithmic property 
,
![=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}](https://tex.z-dn.net/?f=%3D%5Crm%20log_w%7B%28x%5E2-6%29%5E4%7D%20-%20log_w%7B%5Csqrt%5B3%5D%7Bx%5E2-8%7D%7D)
Using the exponential property ![\sqrt[m]{a^n} = a^{\frac{n}{m}}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D%20%3D%20a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D)
,
Using the logarithmic property 
,
Hence, the logarithmic expression can be expressed as .
Learn more about Logarithmic Expression:
brainly.com/question/7302008
The answer is 2.
1/6 times 2 equals 2/12
and 2 times 6 equals 12. So Sue has 2 Carrots.
In a business letter, the date line, which consists of the month, day, and year, is positioned two to six lines below the letterhead.
Answer:
4.1 billion
Step-by-step explanation:
1 ft = 30.48 cm
1 in = 2.54 cm
The volume of rain that fell on the roof is given by ...
V = LWH
V = (175 ft × 30.48 cm/ft)(45 ft × 30.48 cm/ft)(11 in × 2.54 cm/in)
= 175×45×11×30.48²×2.54 cm³ = 204,412,236.336 cm³
At 20 drops per cm³, this will be ...
20×204,412,236.336 ≈ 4,088,244,727 . . . . raindrops
About 4.1 billion raindrops fell on your roof.
