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Answer:
[tex]x\approx2.3153[/tex]
Step-by-step explanation:
[tex]7e^{3x-5}=49[/tex]
[tex]e^{3x-5}=7[/tex]
[tex]3x-5=ln(7)[/tex]
[tex]3x=ln(7)+5[/tex]
[tex]x=\frac{ln(7)+5}{3}[/tex]
[tex]x=2.315303383[/tex]
[tex]x\approx2.3153[/tex]