Explain how you would know log3100 is between 4 and 5 without the use of a calculator.

Question

Explain how you would know  log3100 is between 4 and 5 without the use of a calculator.

anonymous · Answer

log3 (100) = x so 3^x = 100

What value of x would give you 3^x = 100?

3^2 = 9, 3^3 = 27, 3^4 = 81, 3^5 = 243

100 is between 81 and 243 so x must be between 4 and 5.

anonymous · Answer

$$\log_{3} 100$$

anonymous · Answer

change it into index form$$3^x=100$$

anonymous · Answer

thanks guys! yea i got to 81 and 243 and then got confused and thought i did it wrong :)

anonymous · Answer

how do i mark that is question has a good answer?

anonymous · Answer

Click on Good Answer for one of the given answers...

anonymous · Answer

do u mean the quwstion or the answer as a good answer

anonymous · Answer

ugh my computer is freezing and typing weird sorry