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\(-3*{e}^{2m-5} -7=-34\)

I don't understand how to get m

 Jan 29, 2019
 #1
avatar+95866 
+1

-3 * e^(2m - 5)  - 7 = -34  

 

Add 7 to both sides

 

-3 * e^(2m - 5) = -27

 

Divide both sides by -3

 

e^(2m - 5)  =  9         tale the Ln of both sides

 

Ln e ^( 2m - 5)  = Ln (9)        and we can write

 

(2m - 5) * Ln e  =   Ln (9)      since Ln e = 1,  we can ignore this

 

2m - 5   = Ln (9)       add  5 to both sides

 

2m =  Ln (9) + 5        divide both sides by 2

 

m = [ Ln (9) + 5 ] / 2  ≈   3.5986

 

 

cool cool  cool

 Jan 29, 2019

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