How many ditis are there in the number 1125^225 given that log2=0.3010 and log3=0.4771?

Question

How many ditis are there in the number 1125^225 given that log2=0.3010  and log3=0.4771?

anonymous · Answer

@satellite73

ash2326 · Answer

@shameer1 if I take log of 1000
$$log_{10} 1000=3$$
so we get 3 , digits are 4 (in 1000)
similarly if we take log of 55
$$\log_{10} 55=1.74$$
we have 2 digits here(in 55), so if we take log of a number, just next whole no. is the number of digits in the original no.

ash2326 · Answer

Now take log of 1125^225 and try to find the no. of digits. If you don't get it, I'll help you

ash2326 · Answer

let me know if you get stuck

anonymous · Answer

the answer should be 687 but i am not getting!!!!

ash2326 · Answer

share your work here, let's get the answer

anonymous · Answer

i think we have to convert that to log2  and log3

ash2326 · Answer

Yeah, you need to use the logarithmic properties. Try and let me know if you need help