Question

tolong dong kak gmn caranya​

Answer 1

Penjelasan dengan langkah-langkah:

[tex] \frac{ {(1000)}^{x + 2} }{ {(100)}^{5x} } = \frac{ {(100)}^{ x - 3} }{ {(1000)}^{5 - x} } \\ \frac{ {(10)}^{3(x + 2)} }{ {(10)}^{2.5x} } = \frac{ {(10)}^{ 2(x - 3)} }{ {(10)}^{3(5 - x)} } \\ {(10)}^{3x + 6 - 10x} = {(10)}^{(2x - 6) - (15 - 3x)} \\ {(10)}^{ - 7x + 6} = {(10)}^{2x - 6 - 15 + 3x} \\ {(10)}^{ - 7x + 6} = {(10)}^{5x - 21} [/tex]

[tex]4- 7x + 6 = 5x - 21 \\ - 7x - 5x = - 21 - 6 \\ - 12x = - 27 \\ x = \frac{ - 27}{ - 12} = \frac{9}{4} [/tex]

Answer 2

12

[tex] \frac{ {1000}^{x + 2} }{ {100}^{5x} } = \frac{ {100}^{x - 3} }{ {1000}^{5 - x} } [/tex]

[tex] \frac{ {10}^{3(x + 2)} }{ {10}^{2·5x} } = \frac{ {10}^{2(x - 3)} }{ {10}^{3(5 - x)} } [/tex]

[tex] \frac{ {10}^{3x + 6} }{ {10}^{10x} } = \frac{ {10}^{2x - 6} }{ {10}^{15 - 3x} } [/tex]

[tex] {10}^{3x + 6 - 15x} = {10}^{2x - 6 -(15 - 3x) } [/tex]

[tex]3x + 6 - 10x = 2x - 6 - (15 - 3x)[/tex]

[tex]3x + 6 - 10x = 2x - 6 - 15 + 3x[/tex]

[tex] - 7x + 6 = 5x - 21[/tex]

[tex] - 7x + 6 - 6 = 5x - 21 - 6[/tex]

[tex] - 7x = 5x - 27[/tex]

[tex] - 7x - 5x = 5x - 27 - 5x[/tex]

[tex] - 12x = - 27[/tex]

[tex] \frac{ - 12x}{ - 12} = \frac{ - 27}{ - 12} [/tex]

[tex]x = \frac{9}{4} [/tex]