CPM Homework Help : INT3 Problem 8-51

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8-51.

Solve each of the following equations.

$2\left(x – 1\right)^{2} = 18$
Step 1 (a):
Divide both sides by $2$ .
How many solutions are you expecting?

$2^{x} + 3 = 10$
Step 1 (b):
Subtract $3$ from both sides.
$2^{x} = 7$
Step 2 (b):
Take the log of both sides.
$\text{log}\left(2\right)^{x} = \text{log}\left(7\right)$
Step 3 (b):
Apply the Power Property of Logarithms.
$x · \text{log}\left(2\right) = \text{log}\left(7\right)$
Answer (b):
$x ≈ 2.81$

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