25 pangkat x +2 = ( 0,2) pangkat 1-x
Matematika
rifal58
Pertanyaan
25 pangkat x +2 = ( 0,2) pangkat 1-x
1 Jawaban
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1. Jawaban mohryanef
[tex] {25}^{x + 2} = {0.2}^{1 - x} \\ {25}^{2} + {25}^{x} = {0.2}^{1} \div {0.2}^{x} \\ { ({5}^{2}) }^{2} + { ({5}^{2}) }^{x} = {( {5}^{ - 1}) }^{2} \div { ({5}^{ - 1} })^{x} \\ {5}^{4} + {5}^{2x} = {5}^{ - 2} \div {5}^{ - x} \\ {5}^{4 + 2x} = {5}^{ - 2 - x} \\ 4 + 2x = - 2 - x \\ 2x + x = - 2 - 4 \\ 3x = - 6 \\ x = - 2[/tex]