What is 0.026ln(5*10^8) ?

The solution to 0.026ln(5*10^8) is 0.026ln(5)+0.208ln(10)

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simplify 0.026ln(5*10^8)

simplify

0.026 ln (5 \cdot 1 0^{8})

0.026 ln (5) + 0.208 ln (10)

Decimal Notation

0.52078 \dots

Solution steps

0.026 ln (5 \cdot 1 0^{8})

Apply log rule:

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

0.026 ln (5 \cdot 1 0^{8}) = 0.026 ln (5) + 0.026 ln (1 0^{8})

= 0.026 ln (5) + 0.026 ln (1 0^{8})

Apply log rule:

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

ln (1 0^{8}) = 8 ln (10)

= 0.026 ln (5) + 0.026 \cdot 8 ln (10)

Multiply the numbers:

0.026 \cdot 8 = 0.208

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

lo g_{a} (a^{2} b c^{3})

lo g_{10} (2 x - 4) - 0.5 lo g_{10} (x)

ln (\frac{2 ^{0.538 + 1} - 1}{( 0.538 - 1 ) x})

\frac{ln ( x ) - ln ( 4 )}{x - 4}

2 ln (a) - 4 ln (y)

What is 0.026ln(5*10^8) ?
The solution to 0.026ln(5*10^8) is 0.026ln(5)+0.208ln(10)