$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5$

7 0

3 years ago

What is the total volume of the composite figure?

kicyunya [14]

Answer:120 units

Step-by-step explanation:

6 0

3 years ago

The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first

Softa [21]

Answer:

29.7

Step-by-step explanation:

The remaining distance is the total distance less the distance driven so far:

... 236.5 -69.4 -67.9 -69.5 = 29.7

5 0

3 years ago

What is the value of this expression?<br><br> (−4) to the fourth power

Alex_Xolod [135]

Good afternoon/evening.

-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive.

4 0

3 years ago