How do I solve 3^(ln(2)) xx x^( ln x + ln 6 + 1) = (3e^2)/4

Trace Glass

Trace Glass

Answered question

2022-10-11

How do I solve 3 ln 2 × x ln x + ln 6 + 1 = 3 e 2 4
I've been going at this question for 2 hours, my teacher wants us to solve for x without a graphing calculator.
3 ln 2 × x ln x + ln 6 + 1 = 3 e 2 4

Answer & Explanation

Layton Leach

Layton Leach

Beginner2022-10-12Added 15 answers

Hint: isolate the x term.
Hint 2: identify a quadratic in ln x
( ln x + ln 6 + 1 ) ln x = ln 3 + ln e 2 ln 4 ln 3 ln 2

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