<h3>log [ (√3)(2 - x)/(3x) ] = log (2 - x) - ¹/₂ log 3 - log x</h3>
<h3>Further explanation</h3>
Let's recall following formula about Exponents and Surds:
<em>Let us tackle the problem!</em>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Exponents and Surds
Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.
Answer:
Step-by-step explanation:
This is about the right triangle, where 92 feet side is adjacent leg to 20° angle, x - height.
Use trigonometry to find the height
- x / 92 = tan 20°
- x = 92 tan 20°
- x = 33.49 feet (rounded)
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
