make n the subject of the formular if A=p(1+(r/(100)))^n


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Question Number 144422 by Engr_Jidda last updated on 25/Jun/21

$m a k e n t h e s u b j e c t o f t h e f o r m u l a r$ $i f A = p {(1 + \frac{r}{100})}^{n}$
	Answered by MJS_new last updated on 25/Jun/21

	$A = p (1 + \frac{r}{100})$ $\frac{A}{p} = {(1 + \frac{r}{100})}^{n}$ $\ln \frac{A}{p} = \ln {(1 + \frac{r}{100})}^{n}$ $\ln \frac{A}{p} = n \ln (1 + \frac{r}{100})$ $n = \frac{\ln \frac{A}{p}}{\ln (1 + \frac{r}{100})}$
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