SOLUTION: how to solve log(2)8 - 2log(6)3 - log(6)4 = ?? thank yoi so much

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Question 460185: how to solve log(2)8 - 2log(6)3 - log(6)4 = ??
thank yoi so much
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
log28 - 2log63 - log64

Write 8 as 2³, and write 2log63 as log63²

log22³ - log63² - log64

Write log22³ as 3log22

3log22 - log63² - log64

Write 3log22 as 3(1) or just 3

3 - log63² - log64

Factor -1 out of the last two terms:

3 -1(log63² + log64)

Write 3² as 9

3 -1(log69 + log64)

Write the sum of logs in parentheses as the log of 
a product

3 - 1(log69*4)

Write 9*4 as 36

3 - 1(log636)

Write 36 as 6²

3 - 1(log66²)

Write the log66² as 2log66

3 - 1(2log66)

Write log66 as 1

3 - 1(2*1)

3 - 2

1

Edwin