How to convert the equation y = \frac{q}{5 {}^(x) } to linear form​

Question

How to convert the equation

`y = \frac{q}{5 {}^(x) }`
to linear form​

Answer 1

`xlog 5 = logq - log y\\`

Explanation:

Given the equation
`y = (q)/(5^(x) )`, to convert to linear form, the following steps must be followed;

`5^(x) = (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\\`

The final expression is a linear form of the expression