## coolaidd Group Title solve. then round answer to the nearest hundredth. log_5x=3 2 years ago 2 years ago

1. coolaidd Group Title

@dpflan ?

2. dpflan Group Title

$log_5x=3$Is that the equation?

3. coolaidd Group Title

yess

4. dpflan Group Title

$log_ab=x$ OK, this means, the number you raise a to in order to obtain x is b. so $a^x = b$

5. coolaidd Group Title

ok..

6. coolaidd Group Title

would it be x = 5^3 = 125?

7. dpflan Group Title

$log_5x=3$ Is $5^3 = x$... Yeah you got it

8. coolaidd Group Title

what is 125 to the nearest..?

9. dpflan Group Title

$125 = 125.00000...$

10. dpflan Group Title

just like the last one ;)

11. coolaidd Group Title

what would 35 be rounded to the hundredth? 35.000?

12. coolaidd Group Title

?

13. dpflan Group Title

Actually, no, you need one less 0. Using the decimal system, the values to the right of the decimal are fractional amounts with respect the base for the system, which is 10 here. So the first place would be $10^{-1}$ which is 1/10, the second place is $10^{-2}$ which is $\frac{1}{10^2}=\frac{1}{100}$ , this that is the "hundredths" place

14. dpflan Group Title

so just two points to the right would be to the nearest hundrdeth

15. coolaidd Group Title

cool..it didnt have anything to do with the previous question..

16. coolaidd Group Title

i just wanted to know what 35 rounded to the nearest hundredth would be

17. dpflan Group Title

It's actually kind of cool, you use any number as the base. So if you have 123.456, then you have $1*10^3 + 2*10^1 + 2*10^0 + 4*10^{-1} + 5*10^{-2} + 6*10^{-3}$

18. dpflan Group Title

At least in the decimal system

19. coolaidd Group Title

is that for 35?

20. dpflan Group Title

No, 35 is 35.00