SOLUTION: If log8 3 = 0.5283 and log8 5 = 0.7740, then what is the value of log8 45 ?

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Question 259654: If log8 3 = 0.5283 and log8 5 = 0.7740, then what is the value of log8 45 ?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C45%29
can be rewritten as:
log%288%2C%283%2A3%2A5%29%29
log%288%2C%283%5E2%2A5%29%29
log%288%2C3%5E2%29+%2B+log%288%2C5%29
2log%288%2C3%29+%2B+log%288%2C5%29
Now, we can substitute what was given:
2%280.5283%29+%2B+0.7740
1.0566+%2B+0.7740
1.8306