Question

solve the exponential equation
9^2x+1=11

(2x+1) is all raised

Answer 1

\[9^{2x+1} = 11 \Rightarrow \log_9(9^{2x+1}) = \log_9(11) \Rightarrow (2x+1)\log_99 = \log_911\]

Answer 2

\[2x+1 = \log_911 \Rightarrow 2x = \log_9(11) - 1 \Rightarrow x = \frac{1}{2}(\log_9(11)-1)\]

Answer 3

we need the value for x

Answer 4

its not going to be pretty, its not like x = 5, or 8. You would have to plug that into a calculator.

Answer 5

or wolframalpha.com

Answer 6

you should be able to calculate value of x from that equation. spoon feeding is bad for teaching/learning any subject.

Answer 7

2xln9=ln11
2x=ln(2)
x=ln(2)^1/2