SOLUTION: slove algebraically 3^2x+1=1/243 that is 3 to the power of 2x+1 equals 1 over 243

Question 63817: slove algebraically 3^2x+1=1/243 that is 3 to the power of 2x+1 equals 1 over 243
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3^2x+1=1/243 that is 3 to the power of 2x+1 equals 1 over 243
3^(2x+1) = 1/243
:
Using the log equivalent of exponents
(2x+1)*ln(3) = ln(1/243)
:
(2x+1)*1.09861 = -5.49306
:
2x + 1 =
:
2x + 1 = -5
:
2x = -5 - 1
:
2x = -6
:
x = -3
:
:
Check: the exponent would be 2(-3) + 1 = -5
on a calc: 3^-5 = .004115 which is decimal equiv of 1/243

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