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Popular >

simplify ln(2)-ln(4)+ln(5)

Solution

simplify

ln (2) - ln (4) + ln (5)

Solution

ln (\frac{5}{2})

+1

Decimal Notation

0.91629 \dots

Solution steps

ln (2) - ln (4) + ln (5)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (5) - ln (4) = ln (\frac{5}{4})

= ln (2) + ln (\frac{5}{4})

Apply log rule:

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

ln (2) + ln (\frac{5}{4}) = ln (2 \cdot \frac{5}{4})

= ln (2 \cdot \frac{5}{4})

2 \cdot \frac{5}{4} = \frac{5}{2}

= ln (\frac{5}{2})

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Frequently Asked Questions (FAQ)

What is ln(2)-ln(4)+ln(5) ?
The solution to ln(2)-ln(4)+ln(5) is ln(5/2)