y= 6x is written as:
Choices y = log(6)x
x = log(6)y
I chose y = log(6)x, correct?I did the inverse so x = 6^x
isolate y so it becomes y = log(6)x
Actually, the correct choice is y = 6x. Let's break down the steps to understand why.
The equation y = 6x is a linear equation in the form of y = mx, where m represents the slope of the line. In this case, the slope is 6.
To verify this, you can compare the equation y = 6x to the other choices:
1. y = log(6)x: This is a logarithmic equation, not a linear one. The logarithm function is denoted as log(base)b(x), where b represents the base. So, log(6)x means the logarithm of x with base 6.
2. x = log(6)y: This is another logarithmic equation, but it's inverse to the previous choice. It represents the equation obtained by swapping the x and y variables, signifying a different relationship between x and y.
Now, let's talk about isolating y in the equation y = 6x.
To isolate y, we can divide both sides of the equation by 6:
y/6 = (6x)/6
y/6 = x
Therefore, y = 6x is the correct equation, and you do not need to involve logarithms or perform any inverse operations in this case.