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For each question, solve for x by using the inverse logarithmicfunction, common logarithmic function or natural logarithmicfunction.1. If 1 bacteria doubles every day, how many days will it taketo reach 131,072 bacteria?2* = 131,072

Respuesta :

We have the next equation

[tex]2^x=131072[/tex]

we will use natural logarithmic functions on both sides

[tex]\ln (2^x)=\ln (131072)[/tex]

using logarithm rules

[tex]x\ln (2)=\ln (131072)[/tex]

then we isolate the x

[tex]x=\frac{\ln (131072)}{\ln (2)}[/tex][tex]x=17[/tex]

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