Question

Solve the equation or formula for the indicated variable.
S=6r^3t,for t

Answer 1

\[S=(6*r)^(3*t)\]
If you take the natural logarithm of both sides, you get
\[\ln(S)=\ln((6*r)^(3*t))\]
Take the 3*t to the front of the natural log (we can do this because of properties of logarithms) and we get
\[\ln(s)=(3*t)*\ln(6*r)\]
Then just divide both sides by \[\ln(6*r)\] and
\[\ln(S)\div(\ln(6*r))=3*t\]
Divide again by three and
\[t=ln(S)\div(3*\ln(6*r))\]

Answer 2

Thank you:)