It is given that 2 ln(4x 5) + ln(x + 1) = 3ln3. i. Show that

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It is given that 2 ln(4x − 5) + ln(x + 1) = 3ln3.

i. Show that 16x3 − 24x2 − 15x − 2 = 0.
ii. By first using the factor theorem, factorise 16x− 24x2 − 15x − 2 completely.
iii. Hence solve the equation 2 ln(4x − 5) + In(x + 1) = 3In3.

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