Step-by-step explanation:
we need log of both sides
[tex]5^(^2^x^-^1^) = 12^x\\\\5^2^x *5^-^1=12^x\\\\\frac{5^2^x}{12^x}=5\\\\(\frac{5^2}{12} )^x = 5 \\\\log((\frac{5^2}{12} ) )^x = log5\\\\x(log25-log12) = log5\\\\x=\frac{log5}{log25 - log12}[/tex]
