Question

question 22 (mandatory) (1 point) if 6^{5x - 3}=1, then x is equal to a) 2 b) $\frac{1}{5}$ c) $\frac{5}{3}$ d) $\frac{3}{5}$

Explanation:

Step1: Recall the exponential - rule

Any non - zero number raised to the power of 0 is 1, i.e., $a^0 = 1$ for $a
eq0$. Here $a = 6$, so $5x−3=0$.

Step2: Solve the linear equation

Add 3 to both sides of $5x−3 = 0$: $5x=3$. Then divide both sides by 5, we get $x=\frac{3}{5}$.

Answer:

D. $\frac{3}{5}$