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I'm not good with log or ln. I don't know how I'm supposed to get these answered. Help me please.

 Oct 1, 2019
 #1
avatar+104962 
+2

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)

 

 

cool cool cool

 Oct 1, 2019
 #2
avatar+104962 
+2

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

 

= (1/3) Log (7)  =   Log (7)^(1/3)   =  Log ( ∛7 )

 

 

 

cool cool cool

 Oct 1, 2019

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