What is 92-10*log_{10}((4*3.14*7.5^2)/2) ?

The solution to 92-10*log_{10}((4*3.14*7.5^2)/2) is 112-10log_{10}(35325)

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simplify 92-10log_{10}((43.14*7.5^2)/2)

simplify

92 - 10 \cdot lo g_{10} (\frac{4 \cdot 3.14 \cdot 7. 5 ^{2}}{2})

112 - 10 lo g_{10} (35325)

Decimal Notation

66.51917 \dots

Solution steps

92 - 10 lo g_{10} (\frac{4 \cdot 3.14 \cdot 7. 5 ^{2}}{2})

10 lo g_{10} (\frac{4 \cdot 3.14 \cdot 7. 5 ^{2}}{2}) = 10 lo g_{10} (35325) - 20

= 92 - (10 lo g_{10} (35325) - 20)

Expand

- (10 lo g_{10} (35325) - 20) : - 10 lo g_{10} (35325) + 20

= 92 - 10 lo g_{10} (35325) + 20

Add the numbers:

92 + 20 = 112

= 112 - 10 lo g_{10} (35325)

- 2 ln (\frac{4}{9})

ln (e^{4} \frac{1}{( e ^{2} - 1 ) \cdot 0.95 + e ^{2}})

lo g_{3} (x) + 4 lo g_{3} (y) - 3 lo g_{3} (z)

10 ln (\frac{5}{2})

ln (\frac{90}{100})

What is 92-10*log_{10}((4*3.14*7.5^2)/2) ?
The solution to 92-10*log_{10}((4*3.14*7.5^2)/2) is 112-10log_{10}(35325)