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Popular >

simplify 6ln(2)-4ln(y)

Solution

simplify

6 ln (2) - 4 ln (y)

Solution

ln (\frac{64}{y ^{4}})

Solution steps

6 ln (2) - 4 ln (y)

Apply log rule:

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

6 ln (2) = ln (2^{6})

= ln (2^{6}) - 4 ln (y)

Apply log rule:

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

4 ln (y) = ln (y^{4})

= ln (2^{6}) - ln (y^{4})

Apply log rule:

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

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

= ln (\frac{2 ^{6}}{y ^{4}})

2^{6} = 64

= ln (\frac{64}{y ^{4}})

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Frequently Asked Questions (FAQ)

What is 6ln(2)-4ln(y) ?
The solution to 6ln(2)-4ln(y) is ln((64)/(y^4))