CPM Homework Help : PC Problem 4-10

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4-10.

Copy and replace the question mark with the correct number, or state “impossible” and explain why.

$\text{log}_3(9) = ?$
Answer (a):
It is $2$ because $3^2 = 9$ .

$\text{log}_3 (\frac { 1 } { 3 }) = ?$
Hint (b):
$\scriptsize{\frac{1}{3}=3^{-1}}$

$\text{log}_5(625) = ?$
Hint (c):
$5^? = 625$

$\text{log}_3(0) = ?$
Hint (d):
$3^? = 0$
Answer (d):
Impossible!

$\text{log}_5(?) = 2$
Hint (e):
$5^2 = ?$

$\text{log}_5(?) =\frac { 1 } { 2 }$
Hint (f):
$5^{1/2}=?$

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