Question

How is the graph y=log(2x)+3 related to the graph of y=log(x)

Answer 1

I may be wrong, but I believe they are related, because y=log(2x)+3 has a variable x, and so does y=log(x). I hope this helps!

Answer 2

The graph y = log (2x) + 3 is the translation of the graph y = log (x) as much as (3 + log (2)) ≈ 3.3 units up

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as:

• Linear Function → f(x) = ax + b

• Quadratic Function → f(x) = ax² + bx + c

• Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x

• Logarithmic function → f(x) = ln x

• Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us tackle the problem.

The given functions can be modified as follows:

$y = \log ( 2x ) + 3$

$y = \log 2 + \log x + 3$

$y = \log x + (3 + \log 2)$

From the function above it can be concluded that the graph y = log (2x) + 3 is the translation of the graph y = log (x) as much as (3 + log (2)) ≈ 3.3 units up

To be clearer, it can be seen in the attached image.

Learn more

• Inverse of Function : brainly.com/question/9289171
• Rate of Change : brainly.com/question/11919986
• Graph of Function : brainly.com/question/7829758

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Functions

Keywords: Equation , Line , Variable , Line , Gradient , Point , Quadratic , Intersection , Logarithmic