CPM Homework Help : PCT Problem 2-160

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2-160.

Using rules of exponents and matching bases, solve the following equations.

$4^{x+1}=\sqrt{2^x}$
Step (a):
$(2^2)^{x+1}=(2^x)^{1/2}$

$3(9)^x=27^{x+1}$
Step (b):
$3^1(3^2)^x=(3^3)^{x+1}$

$\sqrt[3]{5^x}=\left(\frac{1}{25}\right)^{x-2}$
Step (c):
$(5^x)^{1/3}=(5^{−2})^{x−2}$

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