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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A population of bacteria is growing according to the exponential model P = 100e^(.70)t, where P is the number of colonies and t is measured in hours. After how many hours will 300 colonies be present? [Round answer to the nearest tenth.]

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE A population of bacteria is growing according to the exponential model P 100e70t where P is the number of colonies a class=

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tramserran

Answer:  B) 1.6

Step-by-step explanation:

[tex]P=100e^{(.70)t}\\\\\text{It is given that P = 300}\\300=100e^{(.70)t}\\\\\text{Divide both sides by 100}:\\3=e^{(.70)t}\\\\\text{Apply ln to both sides to eliminate e}:\\ln(3)=0.7t\\\\\\\text{Divide both sides by 0.7 to solve for t}:\\\dfrac{ln(3)}{0.7}=t\\\\1.569=t[/tex]

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