Question

5e^(0.5x)=12

Answer 1

\(\Large\color{blue}{ 5e^{0.5x}=12 }\)
\(\Large\color{blue}{ 5e^{0.5+x}=12 }\)
\(\Large\color{blue}{ 5e^{0.5}+e^{x}=12 }\)
\(\Large\color{blue}{ e^{x}=12-5e^{0.5} }\)
\(\Large\color{blue}{ \ln(e^{x})=\ln(12-5e^{0.5} ) }\)
\(\Large\color{blue}{ x\ln(e)=\ln(12-5e^{0.5} ) }\)
\(\Large\color{blue}{ x=\ln(12-5e^{0.5} ) }\)

Answer 2

I think this is the exact answer... you can approximate some things tho...