Question

How to convert the equation="TexFormula1" title="y = \frac{q}{5 {}^{x} } " alt="y = \frac{q}{5 {}^{x} } " align="absmiddle" class="latex-formula">
to linear form​

Answer 1

Answer:

$xlog 5 = logq - log y$

Step-by-step explanation:

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

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

The final expression is a linear form of the expression