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Popular >

simplify ln(40)+2ln(1/2)+ln(y)

Solution

simplify

ln (40) + 2 ln (\frac{1}{2}) + ln (y)

Solution

ln (10 y)

Solution steps

ln (40) + 2 ln (\frac{1}{2}) + ln (y)

Apply log rule:

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

2 ln (\frac{1}{2}) = ln ((\frac{1}{2})^{2})

= ln (40) + ln ((\frac{1}{2})^{2}) + ln (y)

Apply log rule:

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

ln (40) + ln ((\frac{1}{2})^{2}) = ln (40 (\frac{1}{2})^{2})

= ln (40 (\frac{1}{2})^{2}) + ln (y)

40 (\frac{1}{2})^{2} = 10

= ln (10) + ln (y)

Apply log rule:

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

ln (10) + ln (y) = ln (10 y)

= ln (10 y)

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Frequently Asked Questions (FAQ)

What is ln(40)+2ln(1/2)+ln(y) ?
The solution to ln(40)+2ln(1/2)+ln(y) is ln(10y)