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2 years ago

Should be easy points!

Mathematics

1 answer:

Andru [333]2 years ago

4 0

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

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Answer:

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Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

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So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

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