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

1 Answer
Jim G.
Sep 22, 2017

#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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