Answer.
Step-by-step explanation:
Given = sum of two exterior angle of a triangle is 272 .
rule of triangle is that each and every angle which are outside a triangle is 360.
so, 272 + x = 360
x = 360 - 272
x = 88
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
13 I believe as 31-5=26/2=13 Hope you'll find this helpful
Based on time conversion, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.
<h3>What is the age of a teacher who is 50 years in seconds?</h3>
The age of the teacher in years is converted to seconds as follows:
- 60 seconds = 1 minute
- 60 minutes = 1 hour
- 24 hours = 1 day
- 3651/4 days = 1 year
Thus:
50 years to seconds will be:
50 × 365.25 × 24 × 60 × 60 = 1577880000 seconds.
Therefore, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.
Learn more about about time conversion at: brainly.com/question/13893070
