Question

${49}^{x} = \frac{1}{343}$
(ecuatii exponentiale)
dau coroana celui mai bun raspuns.
multumesc anticipat!

Answer 1

Răspuns

49ˣ=1/343

343=1/7³

7²ˣ=1/7³

7²ˣ=7⁻³

2x=-3

x=-3/2

Explicație pas cu pas:

Answer 2

${49}^{x} = \frac{1}{343} \\ \\ { {(7}^{2}) }^{x} = \frac{1}{ {7}^{3} } \\ \\ {7}^{2x} = {7}^{ - 3} \\ \\ 2x = - 3 \\ \\ 2x : 2 = - 3 : 2 \\ \\ x = - \frac{3}{2} \\ \\ x = - 1\frac{1}{2}$