Question

question 12 (mandatory) (1 point) if 6^{5x - 3}=1, then x is equal to a) $\frac{3}{5}$ b) $\frac{1}{5}$ c) $\frac{5}{3}$ d) 2

Explanation:

Step1: Recall exponent - rule

Any non - zero number to the power of 0 is 1. So, if \(a^b = 1\) (\(a
eq0\)), then \(b = 0\). Here \(a = 6\) and \(b=5x - 3\).
So we set up the equation \(5x-3 = 0\).

Step2: Solve the linear equation

Add 3 to both sides of the equation \(5x-3 = 0\). We get \(5x=3\).
Then divide both sides by 5, so \(x=\frac{3}{5}\).

Answer:

A. \(\frac{3}{5}\)