How do you solve for t K= H - Ca^t?

1 Answer
mason m
Jan 28, 2016

t=log_a((H-K)/C)

Explanation:

First, isolate the term with t.

K-H=-Ca^t

Divide by -C.

(H-K)/C=a^t

To undo an exponential function like a^t in order to solve for t, we will have to use a logarithm. Logarithms and exponential functions are inverses.

log_a((H-K)/C)=log_a(a^t)

t=log_a((H-K)/C)

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