## coolaidd 3 years ago solve. then round answer to the nearest hundredth. 10^x+4=1000

1. coolaidd

@dpflan

2. dpflan

Is it\[10^{x+4} = 1000\] In anyway case, it's just like the last one, you can solve this one in a minute ;)

3. coolaidd

yes..

4. coolaidd

10^x+4=1000 10^x = 996 x = log 996 2.9982

5. dpflan

wait, if it's \[10^{x+4}\] then you need to re-solve

6. dpflan

Otherwise, you got it

7. coolaidd

so if it is 10^x+4 its wrong?

8. dpflan

No, you solved it correctly if the +4 is not in the exponent

9. dpaInc

be careful of what you're solving... which of these is the correct expression on the left: \[\large 10^{x+4} \] or \[\large 10^{x}+4 \]

10. coolaidd

the first one

11. dpaInc

then like @dpflan , said, you need to resolve... your original solution is for the second expression

12. coolaidd

10^(x + 4) = 1000 x + 4 = 3 x = -1

13. dpflan

yeah, nice!

14. coolaidd

how would i round that to the nearest hundredth though?

15. coolaidd

?

16. dpflan

Well, it currently have no fractional value, nothing passed the decimal point, so you can rewrite that \[-1=-1.00000....\]

17. coolaidd

thanks :)

18. dpflan

No problem, thanks for the medal!