CPM Homework Help : CCA2 Problem 10-162

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10-162.

Solve each equation below.

$2^{(x-1)} = 64$
Hint (a):
$2^? = 64$

$9^3 = 27^{(2x - 1)}$
Hint (b):
Change the left side of the equation to:
$9^3 = (3^2)^3 = 3^6$
Change the right side of the equation to a power of $3$ , also.

$x^6 = 29$
Hint (c):
How can you 'undo' a $6$ ^th power?

$6^x = 29$
Hint (d):
Since the $x$ is in the exponent, you will need to take the log of both sides.

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