Question 289032: Can you please help me with this question (the steps to finding the answer)
Solve algebraically for t:
4^(-3t) = .10
Thank you! Found 2 solutions by mananth, ikleyn:Answer by mananth(16949) (Show Source):
You can put this solution on YOUR website! .
Can you please help me with this question (the steps to finding the answer)
Solve algebraically for t:
4^(-3t) = .10
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The derivation of the solution in the post by @mananth is incorrect.
I came to do this job as accurately as it should be done.
Your starting equation is
= 0.1.
Take logarithm base 10 of both sides
(-3t)*log(4) = log(0.1),
(-3t)*log(4) = -1,
t = = = 0.55365 (approximately). ANSWER
