You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
The answer is 29 I put it in my scientific calculator
Answer: The answer is a decimal.
Step-by-step explanation:
56400 ÷ 0.332
<span>169879 total people
</span>
Hope this helps!
Answer:
2 YERAS AND 5 MONTHS
Step-by-step explanation:
90 = <u>910 X 4.1 X T </u>
100
90X100 = 3731 X T
9000 = 3731T
T = 2.4
2 YEARS AND .4X 12 = 5 MONTHS
IN 2 YEARS AND 5 MONTHS THE ACCOUNT WILL GROW TO $1,000