Answer:
18.95
Step-by-step explanation:
ln 2 x ln (4x) = 3
ln 4x = = 3 / ln 2
ln4x = 3 / 0.69315 = 4.3281
4x = e^4.328 = 75.80
x = 18.95.
Answer:
<em><u>Lines are perpendicular to each other .</u></em>
Step-by-step explanation:
Standard equation of line is : y = mx + c, Where m represents the slope
Given Equations :
![y = -5x + 1\\\\Slope , m_1 = -5](https://tex.z-dn.net/?f=y%20%3D%20-5x%20%2B%201%5C%5C%5C%5CSlope%20%2C%20m_1%20%3D%20-5)
![y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%20%2B1%5C%5C%5C%5CSlope%2C%20m_2%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Two lines are parallel if the slope of the lines are same.
Two line are perpendicular if the product of the slope = - 1
Clearly slopes are not equal , therefore the lines are not parallel.
product of the slope is - 1, therefore the lines are perpendicular.
![m_1 \times m_2 = -5 \times \frac{1}{5} = - 1](https://tex.z-dn.net/?f=m_1%20%5Ctimes%20m_2%20%3D%20-5%20%5Ctimes%20%5Cfrac%7B1%7D%7B5%7D%20%3D%20-%201)
Answer:
x = 4, y=-1
Step-by-step explanation: