CPM Homework Help : CCA2 Problem 8-158

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8-158.

Solve each equation.

$\log_3(2x - 1) = -2$
Step 1(a):
Convert the equation into exponential form.
$3^{-2} = 2x - 1$
Step 2(a):
Solve for $x$ .
Answer (a):
$x = \frac{5}{9}$

$5^{\log_5(x)} = 3$
Hint (b):
Remember the Inverse Relationship of Logarithms:
$b^{ \log_b (N)}$
Answer (b):
$x = 3$

$\log_2(x) − \log_2(3) = 4$
Hint (c):
Remember the Quotient Property of Logarithms:

$\log_3(5) = x$

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