1. Г)4
2. Д)–3
...............
Ответ:
9.Г)4
10.Б)1,5
9.
[tex] \sqrt{ {5}^{x} } = 25[/tex]
[tex] {5}^{ \frac{x}{2} } = {5}^{2} [/tex]
[tex] \frac{x}{2} = 2[/tex]
[tex]2 \times \frac{x}{2} = 2 \times 2[/tex]
сокращаем на общий делитель 2:
[tex]x = 2 \times 2[/tex]
[tex]x = 4[/tex]
10.
[tex] {25}^{ - x} = \frac{1}{125} [/tex]
[tex] {( {5}^{2} )}^{ - x} = \frac{1}{ {5}^{3} } [/tex]
[tex] {5}^{2 ( - x)} = {5}^{ - 3} [/tex]
[tex] {5}^{ - 2x} = {5}^{ - 3} [/tex]
[tex] - 2x = - 3| \div - 2[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x = 1.5[/tex]
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Answers & Comments
1. Г)4
2. Д)–3
...............
Verified answer
Ответ:
9.Г)4
10.Б)1,5
9.
[tex] \sqrt{ {5}^{x} } = 25[/tex]
[tex] {5}^{ \frac{x}{2} } = {5}^{2} [/tex]
[tex] \frac{x}{2} = 2[/tex]
[tex]2 \times \frac{x}{2} = 2 \times 2[/tex]
сокращаем на общий делитель 2:
[tex]x = 2 \times 2[/tex]
[tex]x = 4[/tex]
10.
[tex] {25}^{ - x} = \frac{1}{125} [/tex]
[tex] {( {5}^{2} )}^{ - x} = \frac{1}{ {5}^{3} } [/tex]
[tex] {5}^{2 ( - x)} = {5}^{ - 3} [/tex]
[tex] {5}^{ - 2x} = {5}^{ - 3} [/tex]
[tex] - 2x = - 3| \div - 2[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x = 1.5[/tex]