What is ln(2.05742)+0.9*ln(2.036838) ?

The solution to ln(2.05742)+0.9*ln(2.036838) is ln(3.90286…)

Popular >

simplify ln(2.05742)+0.9*ln(2.036838)

simplify

ln (2.05742) + 0.9 \cdot ln (2.036838)

ln (3.90286 \dots)

Decimal Notation

1.36171 \dots

Solution steps

ln (2.05742) + 0.9 ln (2.036838)

Apply log rule:

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

0.9 ln (2.036838) = ln (2.03683 8^{0.9})

= ln (2.05742) + ln (2.03683 8^{0.9})

Apply log rule:

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

ln (2.05742) + ln (2.03683 8^{0.9}) = ln (2.05742 \cdot 2.03683 8^{0.9})

= ln (2.05742 \cdot 2.03683 8^{0.9})

2.05742 \cdot 2.03683 8^{0.9} = 3.90286 \dots

= ln (3.90286 \dots)

- lo g_{10} (1.14 \cdot 1 0^{- 6})

- \frac{2 lo g _{10} ( e )}{1 - lo g _{10} ( e )}

ln (x^{2} - 1) - 5 ln (x + 1)

lo g_{2} (\frac{9}{x + 7})

ln (\frac{x ^{8} cos ^{4} ( x )}{x - 4})

What is ln(2.05742)+0.9*ln(2.036838) ?
The solution to ln(2.05742)+0.9*ln(2.036838) is ln(3.90286…)