CPM Homework Help : INT3 Problem 9-24

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Home > INT3 > Chapter 9 > Lesson 9.1.2 > Problem 9-24

9-24.

Solve each equation below.

$2 ^ { ( x - 1 ) } = 64$
Hint (a):
How can you rewrite $64$ to look similar to the left side of the equation.

$9 ^ { 3 } = 27 ^ { ( 2 x - 1 ) }$
Hint (b):
Apply the same method from part (a) on both sides of the equation.
Answer (b):
$x = 1.5$

$\quad x ^ { 6 } = 29$
Answer (c):
$x ≈ ±1.75$

$\quad 6 ^ { x } = 29$
Hint (d):
Take the log of both sides to bring the exponent in front.

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