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=(\ln (131072))/(\ln (2))`
`x=17`