CPM Homework Help : A2C Problem 10-22

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10-22.

Solve each equation.

$\operatorname{log}_{2}\left(x\right) + \operatorname{log}_{2}\left(x − 2\right) = 3$
Hint (a):
Remember the properties of logarithms.
More Help (a):
$\operatorname{log}_{2}\left(x\left(x − 2\right)\right) = 3\\x 2 − 2x = 8\\x 2 − 2x − 8 = 0\\(x − 4)(x + 2) = 0$

Answer (a):
$4$ , since logarithms of negative numbers are undefined.

$\operatorname{log}\left(2x\right) − \operatorname{log}\left(x^{2}\right) = −2$
Hint (b):
See part (a).

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