How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?

we must replace by and then translate the function 3 units in the +y direction.

We can transform into by means of the following operations:

That is, we represent the operations defined above mathematically:

1)

2)

3)

In a nutshell, we must replace by and then translate the function 3 units in the +y direction.

We kindly invite to check this question on transformation rules: link

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2