Logarithmic question In the following question I fail to understand why the A option is correct. I understand that D is wrong, and that B and C are correct, but why is A correct? In the following question I fail to understand why the A option is correct. I understand that D is wrong, and that B and C are correct, but why is A correct? If 3^x=4^(x−1), then xcannot be equal to: A. 2log_3 2 B. 2/(2-log_2 3) C. 1/(1-log_4 3) D. (2 log_2 3)/(2 log_2 3-1) By taking log_3 on both sides, we get x=2(x−1)log_3 2.

Kayden Mills

Kayden Mills

Answered question

2022-11-05

Logarithmic question
In the following question I fail to understand why the A option is correct.
I understand that D is wrong, and that B and C are correct, but why is A correct?
If 3 x = 4 x 1 , then xcannot be equal to:
A. 2 log 3 2
B. 2 2 log 2 3
C. 1 1 l o g 4 3
D. 2 log 2 3 2 log 2 3 1
By taking log 3 on both sides, we get x = 2 ( x 1 ) log 3 2
After that we get B and C as correct after making modifications but how do we know that A is correct?

Answer & Explanation

Jaydon Roth

Jaydon Roth

Beginner2022-11-06Added 13 answers

x = 2 log 3 2 3 2 log 3 2 = 4 2 log 3 2 1 2 2 = 4 2 log 3 2 4 16 16 log 3 2
Therefore the expression cannot equal A.

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