Thursday

April 2, 2015

April 2, 2015

Posted by **MAths lover Please Helppppp** on Tuesday, April 30, 2013 at 5:56am.

- Maths -
**Reiny**, Tuesday, April 30, 2013 at 8:39amI am sure you meant:

log_{10}2 < .302

(you could have just said log 2 ≤ .302 , if the base is omitted it is assumed to be base 10)

let x = 5^500

= (10/2)^500

log x = log (10/2)^500

log x = 500(log (10/2)

= 500(log10 - log2)

= 500(1 - log2)

= 500 - 500log2

= 500 - 151 , = 349 from your given

= 349.48 by using calculator for log2

so your log x > 349

what does that mean?

if logx = 2 , then x = 10^2 ---100 --- 3 digits

if logx = 3, then x = 10^3 -- 1000 --- 4 digits

...

if logx = 349 , then x = 10^349 ----- 350 digits

but log x > 349 , so it must contain 351 digits

**Answer this Question**

**Related Questions**

Maths - We are given that log10 2<0.302. How many digits are there in the ...

Chemistry - When 25.302 is divided by 56.743, the answer should be reported to ...

MATHS - I am less than 500. I am divisible by 11 and 5. I have three digits. The...

maths - invaders put a six digit number into the display. you must change each ...

discrete math - How many strings of four decimal digits (Note there are 10 ...

math - What is the 43rd digit after the decimal point in the decimal ...

math - What is the 43rd digit after the decimal point in the decimal ...

Algebra - Which digit will appear in the 534th place after the decimal point in ...

Algebra - What numeral is in the 100th decimal place in the decimal ...

math - Can u please help me with this..this is my sons 6th grade work and im ...