Solve `log_3(t)-log_3(t^2-4) = -1` for `t`. (3 marks)
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L&E, 2ADV E1 2017 HSC 5 MC
It is given that `ln a = ln b-ln c`, where `a, b, c > 0.`
Which statement is true?
- `a = b-c`
- `a = b/c`
- `text(ln)\ a = b/c`
- `text(ln)\ a = (text(ln)\ b)/(text(ln)\ c)`
L&E, 2ADV E1 SM-Bank 12
Solve the equation `log_e(3x + 5) + log_e(2) = 2`, for `x`. (2 marks)
L&E, 2ADV E1 SM-Bank 9
Solve `log_2(6-x)-log_2(4-x) = 2` for `x`, where `x < 4`. (2 marks)
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L&E, 2ADV E1 SM-Bank 7
Solve the equation `2 log_3(5)-log_3 (2) + log_3 (x) = 2` for `x.` (2 marks)