9^x + 3^1 ^+ ^2x = 50

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

Guest Oct 15, 2020

#2**0 **

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.

Guest Oct 15, 2020

#3**+2 **

I think this?

9^{x }+ 3^{1+2x }= 50

3^{2x }+ 3^{1+2x}

3^{2x }+3 * 3^{2x}

4* 3^{2x }= 50

3^{2x }= 50/4 = 12.5 take logs of both sides

2x log 3 = log 12.5

2x = log12.5/log3

x = 1.1495

ElectricPavlov Oct 15, 2020

#5**+1 **

*** deleted *** problem with server caused multiple postings of the same things

ElectricPavlov Oct 15, 2020