Question

Solve the equation or formula for the indicated variable. S=3r^4t, for t

Answer 1

we are given

$S=3r^{4t}$

Since, we have to solve for t

so, we will isolate t on anyone side

divide both sides by 3

$\frac{S}{3} =r^{4t}$

now, we can take ln both sides

$ln(\frac{S}{3}) =ln(r^{4t})$

we can simplify it

$ln(\frac{S}{3}) =4tln(r)$

divide both sides by 4ln(r)

$t=\frac{ln(\frac{S}{3})}{4ln(r)}$..............Answer