Question #07b7f

1 Answer
A08
Mar 24, 2016

See steps below.

Explanation:

(a) Given expression is V=V_0cdote^(-t/(RcdotC))
To make t its subject.
Divide both sides with V_0 and take natural logarithm of both sides.
In the first step we obtain
V/V_0=e^(-t/(RcdotC))
In the second step
ln (V/V_0)=ln e^(-t/(RcdotC)), eliminating e
ln (V/V_0)=-t/(RcdotC), now making t its subject
t=-(RcdotC)cdotln (V/V_0), absorbing -ve " sign in " ln function
t=RcdotCcdotln (V_0/V).

(b) For the second part follow same steps as above to obtain
t=lambdacdotln (N_0/N)

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