### Home > A2C > Chapter 13 > Lesson 13.2.2 > Problem13-122

13-122.

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

1. $27 = 6^{x}$

$x ≈ 1.839$

1. $27=\frac{1}{6^2}$

$x ≈ −1.839$

1. $27 = \frac { 1 } { ( \frac { 1 } { 6 } ) ^ { x } }$

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

1. Show that $\frac { 1 } { ( \frac { 1 } { 6 } ) ^ { x } } = 6 ^ { x }$.

Try rewriting the expression with negative exponents instead of fractions.