+26400 Which equation would you find to solve 9ˣ=15 for x?
\(\begin{array}{rcll} 9^x&=&15\\ 3^{2x} &=& 3\cdot 5 \qquad & | \qquad \ln{()}\\ 2x\ln{(3)} &=& \ln{(3)} + \ln{(5)} \qquad & | \qquad : \ln{(3)}\\ 2x &=& 1 + \frac{ \ln{(5)}}{ \ln{(3)}}\\ x &=& \frac12 \left[ 1 + \frac{ \ln{(5)}}{ \ln{(3)}} \right]\\ \mathbf{x} & \mathbf{=} & \mathbf{1.23248676036} \end{array} \)
