Question

question 13 (mandatory) (1 point) if 6 - 5x - 3=-1, then x is equal to a) 2 b) 3/5 c) 3/5 d) 1/5 12 of 24 questions saved

Explanation:

Step1: Isolate the exponential - term

Given $6^{5x - 3}=-1$. But in the real - number system, for any real number $a>0$ and real number $b$, $a^{b}>0$. Here $a = 6>0$, so the equation $6^{5x - 3}=-1$ has no real - number solutions. However, if we assume there is a mis - type and it was meant to be something like $6^{5x - 3}=1$. We know that any non - zero number to the power of $0$ is $1$, i.e., $a^{0}=1$ for $a
eq0$. So we set the exponent equal to $0$.
$5x-3 = 0$

Step2: Solve for $x$

Add $3$ to both sides of the equation:
$5x=3$
Then divide both sides by $5$:
$x=\frac{3}{5}$

Answer:

c) $\frac{3}{5}$