Question

If the product \[(4^{5})(5^{13})\] is written as an integer, how many digits are in this integer?

Answer 1

@foolformath

Answer 2

@Kt4rest Can you take log of this no.? base=10

Answer 3

Not sure what you mean

Answer 4

Do you know logarithms?

Answer 5

Yes

Answer 6

How would I use logarithms with this problem?

Answer 7

Suppose If I have 100
I take log of it, it'll come as 2
no. of digits will be (2+1)
If log of 256 is taken it comes as 2.4 then no. of digits is the next integer to 2.4 which is 3
Do you get this?

Answer 8

So there is a formula for this?

Answer 9

No formula is needed, just next integer to the log of no.

Answer 10

Alright, so I have 5log4 * 12log5. What would I do from here?