What is 0.026ln(5*10^{12-4}) ?

The solution to 0.026ln(5*10^{12-4}) is 0.026ln(5)+0.208ln(10)

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simplify 0.026ln(5*10^{12-4})

simplify

0.026 ln (5 \cdot 1 0^{12 - 4})

0.026 ln (5) + 0.208 ln (10)

Decimal Notation

0.52078 \dots

Solution steps

0.026 ln (5 \cdot 1 0^{12 - 4})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

0.026 ln (5 \cdot 1 0^{12 - 4}) = 0.026 ln (5) + 0.026 ln (1 0^{12 - 4})

= 0.026 ln (5) + 0.026 ln (1 0^{12 - 4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (1 0^{12 - 4}) = (12 - 4) ln (10)

= 0.026 ln (5) + 0.026 (12 - 4) ln (10)

0.026 (12 - 4) ln (10) = 0.208 ln (10)

= 0.026 ln (5) + 0.208 ln (10)

\frac{10 ln ( 8 ) - 10 ln ( 7 )}{8 - 7}

4 ln (3 x + 1) + ln (x - 4)

lo g_{3} (\frac{1}{126})

\frac{1}{2.5} ln (\frac{1}{1 - 0.9})

lo g_{10} (c (\frac{a ( t ) L ( t )}{K ( t )})^{1 - a})

What is 0.026ln(5*10^{12-4}) ?
The solution to 0.026ln(5*10^{12-4}) is 0.026ln(5)+0.208ln(10)