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February 27, 2015

February 27, 2015

Posted by **jh** on Monday, March 1, 2010 at 12:43am.

Evaluate without a calculator. Give exact answers:

a) log(log(10)) = ?

b) square root (log(100)) - log(square root(100)) = ?

c) log((square root 10^3)(square root 10^5)(square root 10) = ?

d) 1000^log(3) = ?

e) log(1/log(10square root 10)) = ?

- Precalculus -
**Reiny**, Monday, March 1, 2010 at 8:11ama) log(log10)

= log 1 = 0

b) √log100 - log(√100)

= √2 - log10

=√2 - 1

c) log(√10^3√10^5√10)

= log √10^9

= log 10^(9/2)

= (9/2)log10 = (9/1)(1) = 9/2

d) 1000^log3

= ((10)^3)^log3

= 10 ^(3log3)

= 10^(log27)

= 27

e) log (1/log(10√10)

= log 1 - log(10√10)

= 0 - log(10√10)

= -log(10√10)

= -(log10 + log(√10)

= -(1 + 1/2_

= -3/2

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