Question

Ecuatii exponentiale, ajutor, nu ma pricep deloc:
1. (\frac{1}{3})ˣ=1
2. 4ˣ= \frac{1}{16}
3. 2ˣ⁺¹=4

Answer 1

[tex]1.\left(\frac{1}{3}\right)^x=1\\ \left(\frac{1}{3}\right)^x=\left(\frac{1}{3}\right)^0\\ \boxed{x=0}\\ \\ 2.4^x=\frac{1}{16}\\ 4^x=\left(\frac{1}{4}\right)^2\\ 4^x=4^{-2}\\ \boxed{x=-2}\\ \\ 3.2^{x+1}=4\\ 2^{x+1}=2^2\\ x+1=2\\ \boxed{x=1}[/tex]