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9^x + 3^1 ^+ ^2x = 50

(a) Find the exact solution of the exponential equation in terms of logarithms.

 Oct 15, 2020
 #1
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Your equation is still a bit of a mess.....cheeky

 Oct 15, 2020
 #2
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9^x+3 and everything past 3 is the exponent 1+2x is the exponent and it all equals 50. Find the exact solution of the exponential equation in terms of logarithms.

 Oct 15, 2020
 #3
avatar+28025 
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I think this?

 

9+ 31+2x  = 50

32x  + 31+2x

32x +3 * 32x

4* 32x  = 50

32x  = 50/4 = 12.5   take logs of both sides

 

2x log 3 = log 12.5

2x = log12.5/log3

x = 1.1495

 Oct 15, 2020
 #4
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yes! thank you.:)

Cdortch  Oct 15, 2020
 #5
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*** deleted ***       problem with server caused multiple postings of the same things

 Oct 15, 2020
edited by ElectricPavlov  Oct 15, 2020

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