Ответ:
8.
[tex] {4}^{x} \times {5}^{x} = 400[/tex]
[tex] {(4 \times 5)}^{x} = {20}^{2} [/tex]
[tex] {20}^{x} = {20}^{2} [/tex]
[tex]x = 2[/tex]
Г)2
9.
[tex] {2}^{x} \times {5}^{x} = 0.01[/tex]
[tex] {(2 \times 5)}^{x} = \frac{1}{100} [/tex]
[tex] {(2 \times 5)}^{x} = \frac{1}{ {10}^{2} } [/tex]
[tex] {(2 \times 5)}^{x} = {10}^{ - 2} [/tex]
[tex] {10}^{x} = {10}^{ - 2} [/tex]
[tex]x = - 2[/tex]
В)-2
10.
[tex] {4}^{x} = 8[/tex]
[tex] {( {2}^{2} )}^{x} = {2}^{3} [/tex]
[tex] {2}^{2 x} = {2}^{3} [/tex]
[tex]2x = 3| \div 2[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x = 1.5[/tex]
Г)1,5
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Answers & Comments
Ответ:
8.
[tex] {4}^{x} \times {5}^{x} = 400[/tex]
[tex] {(4 \times 5)}^{x} = {20}^{2} [/tex]
[tex] {20}^{x} = {20}^{2} [/tex]
[tex]x = 2[/tex]
Г)2
9.
[tex] {2}^{x} \times {5}^{x} = 0.01[/tex]
[tex] {(2 \times 5)}^{x} = \frac{1}{100} [/tex]
[tex] {(2 \times 5)}^{x} = \frac{1}{ {10}^{2} } [/tex]
[tex] {(2 \times 5)}^{x} = {10}^{ - 2} [/tex]
[tex] {10}^{x} = {10}^{ - 2} [/tex]
[tex]x = - 2[/tex]
В)-2
10.
[tex] {4}^{x} = 8[/tex]
[tex] {( {2}^{2} )}^{x} = {2}^{3} [/tex]
[tex] {2}^{2 x} = {2}^{3} [/tex]
[tex]2x = 3| \div 2[/tex]
[tex]x = \frac{3}{2} [/tex]
[tex]x = 1.5[/tex]
Г)1,5