[tex] {343}^{5 - x} = \frac{1}{ {49}^{x - 2} } [/tex]
[tex] {7}^{3(5 - x)} = \frac{1}{ {7}^{2(x - 2)} } [/tex]
[tex] {7}^{3(5 - x)} = {7}^{ - 2(x - 2)} [/tex]
[tex] {7}^{15 - 3x} = {7}^{ - 2x + 4} [/tex]
[tex]15 - 3x = - 2x + 4[/tex]
[tex] - 3x + 15 = - 2x + 4[/tex]
[tex] - 3x + 15 - 15 = - 2x + 4 - 15[/tex]
[tex] - 3x = - 2x - 11[/tex]
[tex] - 3x + 2x = - 2x - 11 + 2x[/tex]
[tex] - x = - 11[/tex]
[tex] \frac{ - x}{ - 1} = \frac{ - 11}{ - 1} [/tex]
[tex]x = 11[/tex]
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
11
[tex] {343}^{5 - x} = \frac{1}{ {49}^{x - 2} } [/tex]
[tex] {7}^{3(5 - x)} = \frac{1}{ {7}^{2(x - 2)} } [/tex]
[tex] {7}^{3(5 - x)} = {7}^{ - 2(x - 2)} [/tex]
[tex] {7}^{15 - 3x} = {7}^{ - 2x + 4} [/tex]
[tex]15 - 3x = - 2x + 4[/tex]
[tex] - 3x + 15 = - 2x + 4[/tex]
[tex] - 3x + 15 - 15 = - 2x + 4 - 15[/tex]
[tex] - 3x = - 2x - 11[/tex]
[tex] - 3x + 2x = - 2x - 11 + 2x[/tex]
[tex] - x = - 11[/tex]
[tex] \frac{ - x}{ - 1} = \frac{ - 11}{ - 1} [/tex]
[tex]x = 11[/tex]