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ASHA 777 [7]
3 years ago
14

Hi! Can someone help me with this? Properties and Logarithmic Functions.

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

2\log_{10}x + \log_{10}5 = \log_{10}x^2 + \log_{10}5 = \log_{10}5x^2

So the answer is \log_{10}5x^2

------------------

I used the log rules

y*log(x) = log(x^y)

log(x) + log(y) = log(x*y)

these rules apply to any log base (not just base 10).

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semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²

Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².

Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²

To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157

The area of shaded region is 157 cm²
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