If

, then you have


By the intermediate value theorem, there will be some number

such that

(i.e.

will have a root in

) if you can guarantee that

or

.
Since the coefficients

are all positive, then you know right away that

, so you need to have

in order for there to be such a

.
This means you need to have

which means (A) must be the answer.
The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3
<h3>What is a logarithm? </h3>
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
2ln(x) = In(3x) - [In(9) - 2ln(3)]
In(x²) = In(3x) - [In(9) - In(9)]
ln(x²) = ln(3x) - 0
ln(x²) = ln(3x/0) (incorrect step)
ln(x²) = ln(3x)
x² = 3x (correct step)
x² - 3x =0
x(x - 3) = 0
x = 0, 3
Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3
Learn more about the Logarithm here:
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X = 47°
y = 90°
These are the angles, comment if you would like to know the explanation but these are the answers
E^2=0.36 take the square root of both sides
e=±0.6
34- 6, 12, 18, 24, 30, 36
35- 15, 30, 45, 60, 75, 90