# Math Help - Solve for time, t

1. ## Solve for time, t

Please help me solve this equation, for time t (exponent). I know you have to use natural log (ln) but I am unable to use the rules correctly.

p = x + (y-x)(1-m)^t

If it helps, y=.42 x=.12 m=.07 and p should be .12, but i would like to see the equation solved for time, t, with the variables given above.

2. hi
$(1-m)^{t}=\frac{p-x}{y-x}\Rightarrow t=\log_{1-m}\left (\frac{p-x}{y-x} \right )$

3. u also have,
$t= \frac{\ln (\frac{p-x}{y-x})}{\ln (1-m)}$

4. Thank you both I really appreciate it!