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Popular >

simplify ln(2.01)+0.25ln(0.4)

Solution

simplify

ln (2.01) + 0.25 ln (0.4)

Solution

ln (1.59849 \dots)

+1

Decimal Notation

0.46906 \dots

Solution steps

ln (2.01) + 0.25 ln (0.4)

Apply log rule:

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

0.25 ln (0.4) = ln (0. 4^{0.25})

= ln (2.01) + ln (0. 4^{0.25})

Apply log rule:

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

ln (2.01) + ln (0. 4^{0.25}) = ln (2.01 \cdot 0. 4^{0.25})

= ln (2.01 \cdot 0. 4^{0.25})

2.01 \cdot 0. 4^{0.25} = 1.59849 \dots

= ln (1.59849 \dots)

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Frequently Asked Questions (FAQ)

What is ln(2.01)+0.25ln(0.4) ?
The solution to ln(2.01)+0.25ln(0.4) is ln(1.59849…)