Question 764905
{{{(3^r)=(4^s)=(24^t)}}}
Find an expression for t in terms of r and s
24^t = 3^r
using natural logs
t*ln(24) = r*ln(3)
3.178t = 1.099r
t = {{{(1.099r)/3.178}}}
t = .345687r
:
24^t = 4^s
using natural logs
t*ln(24) = s*ln(4)
3.178t = 1.386s
t = {{{(1.386s)/3.178}}}
t = .4362s
:
: