If $y = ae^(4t)$ , express $t$ in terms of $a$ and $y$ ?

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If $y = ae^(4t)$ , express $t$ in terms of $a$ and $y$ ?

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Answer 1 · 2017-09-22T10:11:32

$t=1/4ln(y/a)$

Explanation:

$"using the "color(blue)"laws of logarithms"$

$"divide both sides by a"$

$rArre^(4t)=y/a$

$"take the ln (natural log) of both sides"$

$lne^(4t)=ln(y/a)$

$rArr4t=ln(y/a)$

$rArrt=1/4ln(y/a)=1/4(lny-lna)$

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If $y = ae^(4t)$ , express $t$ in terms of $a$ and $y$ ?

1 Answer

Explanation:

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If $y = ae^(4t)$ , express $t$ in terms of $a$ and $y$ ?