Question

solve. write your answer as an integer or a fraction in simplest form.
$6^{2x - 1} = 1$
$x = \boxed{\dfrac{\\,\\,\\,\\,\\,\\,}{\\,\\,\\,\\,\\,\\,}}$

Explanation:

Step1: Recall exponent property

Any non - zero number to the power of 0 is 1, i.e., \(a^0 = 1\) for \(a
eq0\). So we set the exponent of 6 equal to 0.
\(2x - 1=0\)

Step2: Solve for x

Add 1 to both sides of the equation: \(2x=1\)
Divide both sides by 2: \(x = \frac{1}{2}\)

Answer:

\(\frac{1}{2}\)