Answer:
x = 0
Step-by-step explanation:
[tex]7-3e^x=4[/tex]
[tex]\implies 7-4=3e^x[/tex]
[tex]\implies 3e^x=3[/tex]
[tex]\implies e^x=1[/tex]
Take natural logs:
[tex]\implies \ln e^x=\ln 1[/tex]
[tex]\implies x\ln e=\ln 1[/tex]
[tex]\implies x \cdot 1=0[/tex]
[tex]\implies x =0[/tex]