$3-\dfrac{1}{2}\left(\log6+\log3-3\log2\right)=\\
\log10^3-\dfrac{1}{2}\left(\log\left(6\cdot3\right)-\log2^3\right)=\\
\log1000-\dfrac{1}{2}\left(\log18-\log8\right)=\\
\log1000-\dfrac{1}{2}\left(\log\dfrac{18}{8}\right)=\\
\log1000-\dfrac{1}{2}\left(\log\dfrac{9}{4}\right)=\\
\log1000-\log\left(\dfrac{9}{4}\right)^{\dfrac{1}{2}}=\\
\log1000-\log\sqrt{\dfrac{9}{4}}=\\
\log1000-\log\dfrac{3}{2}=\\
\log\dfrac{1000}{\frac{3}{2}}=\\
\log\left(1000\cdot\dfrac{2}{3}\right)=\\
\log\dfrac{2000}{3}$

6 0

3 years ago

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Three fifths of Justin’s savings is $120. What is a reasonable amount for one half of Justin’s savings?

alexandr402 [8]

3/5 = 120

120/3 = 40

One half of Justin’s savings is $40

7 0

3 years ago

How many solutions exist for the system of equations graphed below

goblinko [34]

Answer:

one

Step-by-step explanation:

5 0

3 years ago

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2/3 divided by 4???????????????????

ehidna [41]

2/3 / 4 = 2/3 / 4/1 During division, the 2nd fraction flips over and the sighn becomes its opposite. division to multiplication.
2/3 * 1/4 =2/12 or 1/6.

4 0

3 years ago

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