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Exponential Function From Semi-Log Plot

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An exponential function is defined by y=abxy = ab^x. When ln⁡(y)\ln(y) is plotted against xx, the resulting graph is a line with a slope of 0.3 and a y-intercept of 2.5. What are the values of aa and bb?

A

a=e0.3,b=e2.5a = e^{0.3}, b = e^{2.5}

B

a=2.5,b=e0.3a = 2.5, b = e^{0.3}

C

a=2.5,b=0.3a = 2.5, b = 0.3

D

a=e2.5,b=e0.3a = e^{2.5}, b = e^{0.3}

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