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Popular >

simplify ln(500)+3ln(575/500)

Solution

simplify

ln (500) + 3 ln (\frac{575}{500})

Solution

ln (\frac{12167}{16})

+1

Decimal Notation

6.63389 \dots

Solution steps

ln (500) + 3 ln (\frac{575}{500})

Apply log rule:

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

3 ln (\frac{575}{500}) = ln ((\frac{575}{500})^{3})

= ln (500) + ln ((\frac{575}{500})^{3})

Apply log rule:

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

ln (500) + ln ((\frac{575}{500})^{3}) = ln (500 (\frac{575}{500})^{3})

= ln (500 (\frac{575}{500})^{3})

500 (\frac{575}{500})^{3} = \frac{12167}{16}

= ln (\frac{12167}{16})

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Frequently Asked Questions (FAQ)

What is ln(500)+3ln(575/500) ?
The solution to ln(500)+3ln(575/500) is ln(12167/16)