What is 0.2149+ln(-1.045)+ln(1.5891)+ln(-0.7544) ?

The solution to 0.2149+ln(-1.045)+ln(1.5891)+ln(-0.7544) is 0.2149+ln(1.25276…)

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simplify 0.2149+ln(-1.045)+ln(1.5891)+ln(-0.7544)

simplify

0.2149 + ln (- 1.045) + ln (1.5891) + ln (- 0.7544)

0.2149 + ln (1.25276 \dots)

Decimal Notation

0.44025 \dots

Solution steps

0.2149 + ln (- 1.045) + ln (1.5891) + ln (- 0.7544)

Apply log rule:

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

ln (- 1.045) + ln (1.5891) = ln (- 1.045 \cdot 1.5891)

= 0.2149 + ln (- 1.045 \cdot 1.5891) + ln (- 0.7544)

Multiply the numbers:

1.045 \cdot 1.5891 = 1.6606095

= 0.2149 + ln (- 1.6606095) + ln (- 0.7544)

Apply log rule:

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

ln (- 1.6606095) + ln (- 0.7544) = ln (- (- 0.7544) \cdot 1.6606095)

= 0.2149 + ln (- (- 0.7544) \cdot 1.6606095)

- 1.6606095 (- 0.7544) = 1.25276 \dots

= 0.2149 + ln (1.25276 \dots)

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What is 0.2149+ln(-1.045)+ln(1.5891)+ln(-0.7544) ?
The solution to 0.2149+ln(-1.045)+ln(1.5891)+ln(-0.7544) is 0.2149+ln(1.25276…)