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
Hello and Good Morning/Afternoon!
<u>Let's take this problem step-by-step</u>:
<u>What the problem asks for:</u>
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
<u>Let's put that into action</u>:
<== <u>Answer</u>
<u></u>
Hopefully that helps!
The answer to a division problem
<h2>
Answer:</h2>
The value of y is 8.4375
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
<h3>Asked :</h3>
- The value of y when x is 2.25
<h3>Solution :</h3>
2/7.5 = 2.25/y
Do a cross multiplication,
2/7.5 = 2.25/y
=> 20/75 = 2.25/y
=> 75 . 2.25 = 20y
=> 168.75 = 20y
Reverse the equation,
168.75 = 20y
=> 20y = 168.75
Find the value of y,
20y = 168.75
=> y = 8.4375
<h3>Conclusion :</h3>
y = 8.4375
I take it each student is going to make a block.
She has 25 + 28 students all together which is 53 students total
Each one requires 512 magnetic blocks
Therefore she needs 53 * 512 = 27136 blocks.
