Solve for t natural log of A = natural log of C-kt

Math
ln(A)=ln(C)-kt
Rewrite the equation as ln(C)-kt=ln(A).
ln(C)-kt=ln(A)
Move all the terms containing a logarithm to the left side of the equation.
ln(C)-ln(A)=kt
Use the quotient property of logarithms, logb(x)-logb(y)=logb(xy).
ln(CA)=kt
Since t is on the right side of the equation, switch the sides so it is on the left side of the equation.
kt=ln(CA)
Divide each term by k and simplify.
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Divide each term in kt=ln(CA) by k.
ktk=ln(CA)k
Cancel the common factor of k.
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Cancel the common factor.
ktk=ln(CA)k
Divide t by 1.
t=ln(CA)k
t=ln(CA)k
t=ln(CA)k
Solve for t natural log of A = natural log of C-kt

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