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Maslowich
4 years ago
8

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​
Mathematics
1 answer:
polet [3.4K]4 years ago
8 0

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

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