What is 0.026ln(0.135*10^{16}) ?

The solution to 0.026ln(0.135*10^{16}) is 0.026ln(0.135)+0.416ln(10)

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simplify 0.026ln(0.135*10^{16})

simplify

0.026 ln (0.135 \cdot 1 0^{16})

0.026 ln (0.135) + 0.416 ln (10)

Decimal Notation

0.90581 \dots

Solution steps

0.026 ln (0.135 \cdot 1 0^{16})

Apply log rule:

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

0.026 ln (0.135 \cdot 1 0^{16}) = 0.026 ln (0.135) + 0.026 ln (1 0^{16})

= 0.026 ln (0.135) + 0.026 ln (1 0^{16})

Apply log rule:

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

ln (1 0^{16}) = 16 ln (10)

= 0.026 ln (0.135) + 0.026 \cdot 16 ln (10)

Multiply the numbers:

0.026 \cdot 16 = 0.416

= 0.026 ln (0.135) + 0.416 ln (10)

ln (\frac{x ^{4} y}{z ^{6}})

2 ln (6) - 3 ln (8)

lo g_{10} (\frac{5 x y ^{2}}{z ^{3}})

ln (\frac{6.1 \cdot 7.36}{9.42 \cdot 1 0 ^{- 3}})

4 lo g_{10} (x) + 2 lo g_{10} (x - 1)

What is 0.026ln(0.135*10^{16}) ?
The solution to 0.026ln(0.135*10^{16}) is 0.026ln(0.135)+0.416ln(10)