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Popular >

simplify 5+ln(3.6)-2ln(4.6)

Solution

simplify

5 + ln (3.6) - 2 ln (4.6)

Solution

5 + ln (0.17013 \dots)

+1

Decimal Notation

3.22882 \dots

Solution steps

5 + ln (3.6) - 2 ln (4.6)

Apply log rule:

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

2 ln (4.6) = ln (4. 6^{2})

= 5 + ln (3.6) - ln (4. 6^{2})

Apply log rule:

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

ln (3.6) - ln (4. 6^{2}) = ln (\frac{3.6}{4. 6 ^{2}})

= 5 + ln (\frac{3.6}{4. 6 ^{2}})

\frac{3.6}{4. 6 ^{2}} = 0.17013 \dots

= 5 + ln (0.17013 \dots)

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Frequently Asked Questions (FAQ)

What is 5+ln(3.6)-2ln(4.6) ?
The solution to 5+ln(3.6)-2ln(4.6) is 5+ln(0.17013…)