Hi,
Can anyone tell me how to solve “x” for this equation: 5^(x-1) – 5^(x+2) = 10?
Thank you
This equation doesn't have a real solution:
$\displaystyle \begin{aligned}5^{x-1}-5^{x+2}=&10 \\ \frac15 \cdot 5^x-25 \cdot 5^x = &10 \\ -\frac{124}5 \cdot 5^x =& 10\\5^x=&-\frac{50}{124}\end{aligned}$
A power with a positive base will never be negative.
Thus $\displaystyle x \notin \mathbb{R}$