What is 10(log_{10}(3/1000)-log_{10}(7.2E13pi)) ?

The solution to 10(log_{10}(3/1000)-log_{10}(7.2E13pi)) is -10log_{10}(2.4E16pi)

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simplify 10(log_{10}(3/1000)-log_{10}(7.2E13pi))

simplify

10 (lo g_{10} (\frac{3}{1000}) - lo g_{10} (7.2 E 13 π))

- 10 lo g_{10} (2.4 E 16 π)

Decimal Notation

- 168.77361 \dots

Solution steps

10 (lo g_{10} (\frac{3}{1000}) - lo g_{10} (7.2 E 13 π))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (\frac{3}{1000}) - lo g_{10} (7.2 E 13 π) = lo g_{10} (\frac{\frac{3}{1000}}{7.2 E 13 π})

= 10 lo g_{10} (\frac{\frac{3}{1000}}{7.2 E 13 π})

\frac{\frac{3}{1000}}{7.2 E 13 π} = \frac{1}{2.4 E 16 π}

= 10 lo g_{10} (\frac{1}{2.4 E 16 π})

Simplify

lo g_{10} (\frac{1}{2.4 E 16 π}) : - lo g_{10} (2.4 E 16 π)

= 10 (- lo g_{10} (2.4 E 16 π))

Remove parentheses:

(- a) = - a

= - 10 lo g_{10} (2.4 E 16 π)

ln (17) + ln (x)

\frac{ln ( \frac{1}{3} )}{ln ( 6 ) - ln ( 3 )}

lo g_{10} (3) lo g_{10} (2) + 2 lo g_{10} (3)

ln (\frac{T - 20}{200})

9 ln (x + 3) - 5 ln (x)

What is 10(log_{10}(3/1000)-log_{10}(7.2E13pi)) ?
The solution to 10(log_{10}(3/1000)-log_{10}(7.2E13pi)) is -10log_{10}(2.4E16pi)