Solve the equation or formula for the indicated variable.
s=6r^5t, for t

Question

Solve the equation or formula for the indicated variable.
s=6r^5t, for t

anonymous · Answer

t = S/5r^2

anonymous · Answer

Can you show the work I'm so confused.

anonymous · Answer

Well you want to isolate t, that means you want everything except t to be on one side of the equals-sign. The method for that is to do the reverse operations wherever t is not alone, so in this t is multiplied by 5r2 so we divide both sides by 5r2, and the result is
S5r2=5r2t5r2

On the right side we can cancel 5r2, so the answer is
t=S5r2

anonymous · Answer

Thank you!

anonymous · Answer

your welcome! be sure to ask if you need help with this cool stuff again!

anonymous · Answer

I'll probably have a few more questions.

anonymous · Answer

ok

phi · Answer

your equation is not clear.  Is it
$$ s=6r^5t $$
or
$$ s=6r^{5t}$$

anonymous · Answer

@phi the first one...

phi · Answer

ok, then to solve for t, divide both sides by 6 r^5
$$ s=6r^5t \
\frac{s}{6r^5} = \frac{\cancel{6r^5}}{\cancel{6r^5}}t $$
you get
$$ t = \frac{s}{6r^5} $$
which can be written in different ways. example
$$ t = \frac{1}{6} s r^{-5} $$

anonymous · Answer

i already did