[tex]\displaystyle2^{4x-3}=\frac{1}{2^5}[/tex]
[tex] {2}^{4x - 3} = {2}^{ - 5} [/tex]
[tex]4x - 3 = - 5[/tex]
[tex]4x - 3 + 3 = - 5 + 3[/tex]
[tex]4x = - 2[/tex]
[tex] \frac{4x}{4} = \frac{ - 2}{4} [/tex]
[tex]x =- \frac{1}{2} [/tex]
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[tex]\displaystyle2^{4x-3}=\frac{1}{2^5}[/tex]
[tex] {2}^{4x - 3} = {2}^{ - 5} [/tex]
[tex]4x - 3 = - 5[/tex]
[tex]4x - 3 + 3 = - 5 + 3[/tex]
[tex]4x = - 2[/tex]
[tex] \frac{4x}{4} = \frac{ - 2}{4} [/tex]
[tex]x =- \frac{1}{2} [/tex]