Respuesta :

Answer:

[tex]xlog 5 = logq - log y\\[/tex]

Step-by-step explanation:

Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;

[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]

The final expression is a linear form of the expression