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
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Answer: 1,200 ml
Step-by-step explanation:
The ratio is 1 : 5.
If 200 ml of concentrate is used, the water used will be:
1 : 5
200 : x
x = 1,000 ml of water
The amount of juice would be:
= water + concentrate
= 1,000 + 200
= 1,200 ml
Answer: It’s B
Step-by-step explanation:
I just did the quiz
Steve has x+500 marbles
richard has x marbles
if steve gives richard 300 marbles then
x+500-300 x+300
so x+200 and x+300
richard has more and by 100
Answer:
The first 3 terms in the expansion of 
, in ascending power of x are,
coefficient of 
in the expansion of 
= (240 - 192) = 48
Step-by-step explanation:
= 
= 
+ terms involving higher powers of x
= 
+ terms involving higher powers of x
so, the first 3 terms in the expansion of , in ascending power of x are,
Again,
= 
Now, by inspection,
the term comes from k =5 and k = 6
for k = 5, the coefficient of is , 
= -192
for k = 6 , the coefficient of is, 
= 240
so, coefficient of in the final expression = (240 - 192) = 48
