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GrogVix [38]
3 years ago
5

What is the solution to the equation below? log20x3 - 2 logx=4

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

The value of x  is 500

Step-by-step explanation:

Given as :

log20x³ - 2 logx = 4

<u>From log property </u>

alogb = logb^{a}  

So , log20x³ -  logx² = 4

<u>Again From log property </u>

log m- log n = log\frac{m}{n}

So,  log20x³ -  logx² =  log\frac{20x^{3}}{x^{2}}

Or,   log\frac{20x^{3}}{x^{2}} = 4

So \frac{20x^{3}}{x^{2}} = 10^{4}      ( antilog property)

Or, 20 x = 10000

∴         x = 500

Hence The value of x  is 500    Answer

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Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R
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Answer:

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Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

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k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

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if f=10 and h=-12, then;

10=\frac{g}{-48}

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The correct answer is B.

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B = (10,0)
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3 years ago
joe earns R25 per hour working at a pizza shop. How much will he earn over a weekend of two shifts, each six hours long​
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Step-by-step explanation:

<u>To solve:</u>

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  • Multiply the shift earnings by 2 to represent how much he earned over the weekend.

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Joe will earn R300 over the weekend,

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10 oz. - 8 oz. =moisture content, or 2 oz.
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kicyunya [14]
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