CPM Homework Help : INT3 Problem 8-104

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8-104.

Evaluate each expression without using a calculator.

$\operatorname { log } ( 10 )$
Hint (a):
Remember that $\text{log}\left(x\right)$ is the same as $\text{log}_{10}\left(x\right)$ .
Answer (a):
$1$

$\quad \operatorname { log } ( \sqrt { 10 } )$
Hint (b):
$\log\sqrt{10}=\log10^{1/2}$

$\operatorname { log } ( 0 )$
Hint (c):
$10^{?} = 0$

$10 ^ { ( 2 / 3 ) \operatorname { log } ( 27 ) }$
Hint (d):
$10^{(2/3)\log(27)}=10^{\log(27^{(2/3)})}$
Answer (d):
$9$

Compute without a calculator

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