The answer is: " x = - [tex] \frac{8}{7} [/tex] " ; which is: "Answer choice: [C]" .
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Explanation:
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16⁽ˣ⁻⁴⁾ = 64⁽³*ˣ⁾ ;
=(4²)⁽ˣ⁻⁴⁾ = (4³)⁽³*ˣ⁾
→ 4^ [2(x-4)] = 4^ [ 3(3x) ] ;
→ 4^ (2x - 8) = 4^ (9x) ;
→ 2x - 8 = 9x ;
Subtract "2x" from each side of the equation:
→ 2x - 8 - 2x = 9x - 2x ;
→ -8 = 7x ;
→ 7x = -8 ;
Divide EACH SIDE of the equation by "7" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 7x / 7 = -8 / 7 ;
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→ x = - 8/7 ; which is: Answer choice: [C]: " - [tex] \frac{8}{7} [/tex] " .
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