CPM Homework Help : A2C Problem 13-122

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Home > A2C > Chapter Ch13 > Lesson 13.2.2 > Problem 13-122

13-122.

Solve for $x$ , correct to three decimal places.

$27 = 6^{x}$
Answer (a):
$x ≈ 1.839$

$27=\frac{1}{6^2}$
Answer (b):
$x ≈ −1.839$

$27 = \frac { 1 } { ( \frac { 1 } { 6 } ) ^ { x } }$
Hint (c):
$\left( \frac{1}{6}\right)^x=\frac{1}{27}$

Show that $\frac { 1 } { ( \frac { 1 } { 6 } ) ^ { x } } = 6 ^ { x }$ .
Hint (d):
Try rewriting the expression with negative exponents instead of fractions.

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