Answer:
[tex]y = 5\cdot e^{2.3\cdot x}[/tex]
Step-by-step explanation:
A semilog plot consist in a logarithmic axis and a linear axis. In this case, the only equation that fulfill the statement conditions of a semilog plot is [tex]y = 5\cdot e^{2.3\cdot x}[/tex], as it is proved below:
1) [tex]y = 5\cdot e^{2.3\cdot x}[/tex] Given
2) [tex]y = \ln (5\cdot e^{2.3\cdot x})[/tex] Semilog plot
3) [tex]y = \ln 5 + \ln e^{2.3\cdot x}[/tex] [tex]\ln (a\cdot b) = \ln a + \ln b[/tex]
4) [tex]y = \ln 5 + 2.3\cdot x \cdot \ln e[/tex] [tex]\ln a^{b} = b\cdot \ln a[/tex]
5) [tex]y = \ln 5 + 2.3\cdot x[/tex] [tex]\ln e = 1[/tex]/Modulative property/Result
