Step-by-step explanation:
[tex]2 {}^{x} = a {}^{ \frac{x}{12} } [/tex]
[tex]2 {}^{x} = a {}^{ \frac{1}{12} \times x} [/tex]
[tex]2 = a {}^{ \frac{1}{12} } [/tex]
[tex] ln(2) = \frac{1}{12} \times ln(a) [/tex]
[tex]12 ln(2) = ln(a) [/tex]
[tex]e {}^{12 ln(2) } = e {}^{ ln(a) } [/tex]
[tex]2 {}^{12} = a[/tex]
