Precalculus Examples

$- (0.194 \log (0.194) + 0.137 \log (0.137) + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1

Simplify each term.

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Step 1.1

Log base $10$ of $0.194$ is approximately $- 0.71219827$ .

$- (0.194 \cdot - 0.71219827 + 0.137 \log (0.137) + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.2

Multiply $0.194$ by $- 0.71219827$ .

$- (- 0.13816646 + 0.137 \log (0.137) + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.3

Log base $10$ of $0.137$ is approximately $- 0.86327943$ .

$- (- 0.13816646 + 0.137 \cdot - 0.86327943 + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.4

Multiply $0.137$ by $- 0.86327943$ .

$- (- 0.13816646 - 0.11826928 + 0.399 \log (0.399) + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.5

Log base $10$ of $0.399$ is approximately $- 0.3990271$ .

$- (- 0.13816646 - 0.11826928 + 0.399 \cdot - 0.3990271 + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.6

Multiply $0.399$ by $- 0.3990271$ .

$- (- 0.13816646 - 0.11826928 - 0.15921181 + 0.126 \log (0.126) + 0.145 \log (0.145))$

Step 1.7

Log base $10$ of $0.126$ is approximately $- 0.89962945$ .

$- (- 0.13816646 - 0.11826928 - 0.15921181 + 0.126 \cdot - 0.89962945 + 0.145 \log (0.145))$

Step 1.8

Multiply $0.126$ by $- 0.89962945$ .

$- (- 0.13816646 - 0.11826928 - 0.15921181 - 0.11335331 + 0.145 \log (0.145))$

Step 1.9

Log base $10$ of $0.145$ is approximately $- 0.83863199$ .

$- (- 0.13816646 - 0.11826928 - 0.15921181 - 0.11335331 + 0.145 \cdot - 0.83863199)$

Step 1.10

Multiply $0.145$ by $- 0.83863199$ .

$- (- 0.13816646 - 0.11826928 - 0.15921181 - 0.11335331 - 0.12160163)$

Step 2

Simplify the expression.

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Step 2.1

Subtract $0.11826928$ from $- 0.13816646$ .

$- (- 0.25643574 - 0.15921181 - 0.11335331 - 0.12160163)$

Step 2.2

Subtract $0.15921181$ from $- 0.25643574$ .

$- (- 0.41564756 - 0.11335331 - 0.12160163)$

Step 2.3

Subtract $0.11335331$ from $- 0.41564756$ .

$- (- 0.52900087 - 0.12160163)$

Step 2.4

Subtract $0.12160163$ from $- 0.52900087$ .

$- - 0.65060251$

Step 2.5

Multiply $- 1$ by $- 0.65060251$ .

$0.65060251$