What is ln(2.0574)+0.9*ln(2.0369) ?

The solution to ln(2.0574)+0.9*ln(2.0369) is ln(3.90293…)

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simplify ln(2.0574)+0.9*ln(2.0369)

simplify

ln (2.0574) + 0.9 \cdot ln (2.0369)

ln (3.90293 \dots)

Decimal Notation

1.36172 \dots

Solution steps

ln (2.0574) + 0.9 ln (2.0369)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.9 ln (2.0369) = ln (2.036 9^{0.9})

= ln (2.0574) + ln (2.036 9^{0.9})

Apply log rule:

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

ln (2.0574) + ln (2.036 9^{0.9}) = ln (2.0574 \cdot 2.036 9^{0.9})

= ln (2.0574 \cdot 2.036 9^{0.9})

2.0574 \cdot 2.036 9^{0.9} = 3.90293 \dots

= ln (3.90293 \dots)

\frac{1}{4} [3 ln (x + 4) - ln (x) - ln (x^{2} - 9)]

lo g_{5} (\frac{1}{625})

ln ((x + 3)^{2} (x - 1)^{3}) + \frac{4}{( x - 1 )} + c

- lo g_{10} (3.8 (1 0^{- 5}))

ln (\frac{10}{22})

What is ln(2.0574)+0.9*ln(2.0369) ?
The solution to ln(2.0574)+0.9*ln(2.0369) is ln(3.90293…)