CPM Homework Help : INT2 Problem 7-111

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Home > INT2 > Chapter Ch7 > Lesson 7.2.3 > Problem 7-111

7-111.

Solve for $z$ in each equation.

Hint:

Rewrite each equation so that the terms have the same bases.

$4^z = 8$
Step 1 (a):
$(2^{2})^{z}=2^{3}$
Step 2 (a):
$2z=3$
Answer (a):
$z=\frac{3}{2}$

$4^{5z} = 8^{(z + 2)}$
Hint (b):
See part (a).
Answer (b):
$z=\frac{6}{7}$

$3^z = 81^2$

$5^{(z+1)/3} = 25^z$

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