Log₄8 + 3 · log₄x
so the easiest way to do this is to note that these logs are separated by an addition symbol--it isn't "log₄8 + 3" times "log₄x"
log₄8
plus
3 · log₄x
for the second log, you can condense it with log properties/rules: the coefficient out front, when you condense it, becomes the exponent for the argument of your log:
3 · log₄x = log₄(x³)
so, having condensed that, your equation reads:
log₄8 + log₄(x³)
you could technically evaluate the first log, but the question wants both of these to become a single logarithm, which means you want to combine them. log properties state that if logs are being added, you can multiply their arguments (for example: logₓab = logₓa + logₓb)
you just want to apply that property to this, so you'll be multiplying your arguments 8 and x³:
log₄(8x³) is the answer, expressed as one logarithm.
Your answer is 380.13 ft².
The formula for the area of a circle is πr² where r is the radius. We can find the radius by dividing 22 by 2, as the diameter is always twice the radius. This gives us 11 ft.
Then we can substitute 11 into the formula and get 121π, which is equal to 380.13.
I hope this helps!
<h3>Answer:</h3>
B
<h3>Explanation:</h3>
A relation that is a function can only have <em>one output value for each input value</em>.
Graph A has two output values for x = -2.
Graph C has two output values for x = 0.
Graph D has two output values for x = -1.
1/6 since six people are eating the leftovers
19 - 5.5 = 13.5 is the equation that best represents the distance between -19 and 5.5 in the number line.
<u>Step-by-step explanation:</u>
- Let us consider that the integers -19 and 5.5 are placed in the number line.
- To find the distance between these two integers in the number line, a simple method is followed.
- That can be done by taking the absolute value of the difference of those numbers.
Therefore, the absolute value of |-19| is 19.
And the absolute value of |5.5| is 5.5
Now, find the difference between the absolute value of those two numbers -19 and 5.5
⇒ |-19| - |5.5|
⇒ 19 - 5.5
⇒ 13.5
Now look for the options in which the equation shows 19 - 5.5 = 13.5
Thus, the equation that best represents the distance between -19 and 5.5 is 19 - 5.5 = 13.5