Question 289032
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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.



<pre>
Your starting equation is

    {{{4^(-3t)}}} = 0.1.


Take logarithm base 10 of both sides

    (-3t)*log(4) = log(0.1),

    (-3t)*log(4) = -1,

    t = {{{(-1)/(-3*log((4)))}}} = {{{1/(3*log((4)))}}} = 0.55365 (approximately).    <U>ANSWER</U>
</pre>

Solved correctly to teach you in a right way.