Question

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

Answer 1

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.

Answer 2

\[\log_{3} 100\]

Answer 3

change it into index form\[3^x=100\]

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

ugh my computer is freezing and typing weird sorry