Question

question 11 (mandatory) (1 point) if 6^{5x - 3}=1, then x is equal to a) 2 b) 1/5 c) 3/5 d) 5/3

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 \(b=5x - 3\).
\[5x-3 = 0\]

Step2: Solve for \(x\)

Add 3 to both sides of the equation \(5x-3 = 0\):
\[5x=3\]
Then divide both sides by 5:
\[x=\frac{3}{5}\]

Answer:

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