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mel-nik [20]
3 years ago
8

5. Solve log2x+ log12= 3. Round to the nearest hundredth if necessary. (1 point)

Mathematics
2 answers:
Serggg [28]3 years ago
5 0
Log 2x + log 12 = 3log 2x = 3 - log 12log 2x = 3 - 1.08log 2x = 1.922x = 10^1.922x = 83.33x = 83.33/2x = 41.67
nikitadnepr [17]3 years ago
4 0

1) log_8a-log_82

2) 2.089

3) 3.57 decibels

4) 0.82

5) 41.67

6) In x^2/c^5

7) 21,405 mowers

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\left\{\begin{array}{ccc}5x+4y=11&|\cdot2\\2x+6y=-7&|\cdot(-5)\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+8y=22\\-10x-30y=35\end{array}\right}\ \ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ \ \ \ \ -22y=57\ \ \ \ |:(-22)\\.\ \ \ \ \ \ \ \ \ \ \ y=-\dfrac{57}{22}\\\\substitute\ the\ value\ of\ y\ to\ the\ first\ equation\\\\5x+4\left(-\dfrac{57}{22}\right)=11\\\\5x-2\cdot\dfrac{57}{11}=11\ \ \ \ |\cdot11\\\\55x-114=121\ \ \ \ |+114\\\\55x=135\ \ \ \ |:55

x=\dfrac{135}{55}\\\\x=\dfrac{27}{11}\\\\Answer:\ x=\dfrac{27}{11}\ and\ y=-\dfrac{57}{22}\to\left(\dfrac{27}{11},\ -\dfrac{57}{22}\right)

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