Answer:
Logarithm form of [tex]e^{2x}=1732[/tex] is [tex]2x=\ln 1732[/tex]
Step-by-step explanation:
Given equation [tex]e^{2x}=1732[/tex]
We need to write given exponential form into logarithm
using log property to write in logarithm
[tex]a^m=x[/tex]
[tex]m\ln a=\ln x[/tex]
[tex]e^{2x}=1732[/tex]
Apply ln both sides
[tex]2x\ln e=\ln 1732[/tex]
[tex]2x=\ln 1732[/tex] ∴ln e = 1
Thus, Logarithm form of [tex]e^{2x}=1732[/tex] is [tex]2x=\ln 1732[/tex]