Question about rewriting to log form

Question

 

K(t) = 50 · 0.65^t

 

This formula can be rewritten in a form t = A log (K) + B

 

Do this to find the values for A and B

 

Could someone please help me with this one?

 

Thank you.

Answer 1

K(t) = 50 (0.65)^t

 

log(K) = log50 + t log(0.65)

 

t = [log(K) - log50] / log(0.65)

 

t = [1/log(0.65)] log(K) - log50/log(0.65)

 

A = 1/log(0.65)

 

B = -log50 / log(0.65)