I'm not good with log or ln. I don't know how I'm supposed to get these answered. Help me please.
+128475 6e^(9t) = 96 divide both sides by 6
e^(9t) = 16 take the Ln of both sides
Ln e^(9t) = Ln (16) and by a log property we can write
(9t) * Ln e = Ln (16) since Ln e = 1 we have
(9t)* 1 = Ln (16)
9t = Ln (16) divide both sides by 9
t = Ln(16) / 9 = (1/9)Ln(16)
+128475 Second one is similar
4(10)^(3t) = 28 divide both sides by 4
(10)^(3t) = 7 take the Log of both sides
Log (10)^(3t) = Log (7) and we can write
(3t) Log (10) = Log (7) Log 10 = 1
3t (1) = Log (7)
3t = Log(7) divide both sides by 3
t = (1/3) Log (7) = Log (7)^(1/3) = Log ( ∛7 )
