SOLUTION: {{{ 3log( 2, 9/8 ) +4log( 2, 16/15 ) -2log( 2, 24/15 )}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: {{{ 3log( 2, 9/8 ) +4log( 2, 16/15 ) -2log( 2, 24/15 )}}}      Log On


   

Question 901039: +3log%28+2%2C+9%2F8+%29+%2B4log%28+2%2C+16%2F15+%29+-2log%28+2%2C+24%2F15+%29
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3log%282%2C9%2F8%29+%2B4log%282%2C16%2F15%29+-+2log%282%2C24%2F15%29+
=
= log%282%2C%28%289%5E3%2A16%5E4%2F%288%5E3%2A15%5E4%29%29%29%2F%28%2864%2F25%29%29%29
= log%282%2C%28%283%5E6%2A2%5E16%2F%282%5E9%2A15%5E4%29%29%29%2F%28%282%5E6%2F25%29%29%29
= log%282%2C%28%283%5E6%2A2%2F%283%5E4%2A5%5E4%29%29%29%2F%28%281%2F25%29%29%29
= log%282%2C%28%283%5E2%2A2%2F%285%5E4%29%29%29%2F%28%281%2F25%29%29%29
= log%282%2C%28%283%5E2%2A2%2F%285%5E2%29%29%29%29
= log%282%2C%2818%2F25%29%29
= log%282%2C0.72%29
= log(0.72)/log(2)
=~ -0.4739312

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

will let You check and finish Up