Question

5 log 4/5 + 3 log 8/9 + 5 log 15/16 = - log 6
(Prove)​

Answer 1

Answer:

LHS -

$ln( { \frac{4}{5}) }^{5} + ln( { \frac{8}{9} )}^{3} + ln( { \frac{15}{16} )}^{5} \\ = ln( {0.8}^{5} \times {0.89}^{3} \times {0.9}^{5} ) \\ = ln(0.32 \times 0.7 \times 0.6) \\ = ln(13.44)$

As LHS ≠ RHS, The question is wrong

Answer 2

5 * log(4/5) + 3 * log(8/9) + 5 * log(15/16) = - log(6)