Question

solve. then round answer to the nearest hundredth. log_5x=3

Answer 1

@dpflan ?

Answer 2

\[log_5x=3\]Is that the equation?

Answer 3

yess

Answer 4

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

Answer 5

ok..

Answer 6

would it be x = 5^3 = 125?

Answer 7

\[log_5x=3\] Is \[5^3 = x\]...
Yeah you got it

Answer 8

what is 125 to the nearest..?

Answer 9

\[125 = 125.00000...\]

Answer 10

just like the last one ;)

Answer 11

what would 35 be rounded to the hundredth? 35.000?

Answer 12

?

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

It's actually kind of cool, you use any number as the base.

So if you have 123.456, then you have \[1*10^3 + 2*10^1 + 2*10^0 + 4*10^{-1} + 5*10^{-2} + 6*10^{-3}\]

Answer 18

At least in the decimal system

Answer 19

is that for 35?

Answer 20

No, 35 is 35.00