Question

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

Answer 1

We have the next equation

$2^x=131072$

we will use natural logarithmic functions on both sides

$\ln (2^x)=\ln (131072)$

using logarithm rules

$x\ln (2)=\ln (131072)$

then we isolate the x

$x=\frac{\ln (131072)}{\ln (2)}$$x=17$