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Popular >

simplify ln(x-2)-3ln(2)

Solution

simplify

ln (x - 2) - 3 ln (2)

Solution

ln (\frac{x - 2}{8})

Solution steps

ln (x - 2) - 3 ln (2)

Apply log rule:

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

3 ln (2) = ln (2^{3})

= ln (x - 2) - ln (2^{3})

Apply log rule:

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

ln (x - 2) - ln (2^{3}) = ln (\frac{x - 2}{2 ^{3}})

= ln (\frac{x - 2}{2 ^{3}})

2^{3} = 8

= ln (\frac{x - 2}{8})

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Frequently Asked Questions (FAQ)

What is ln(x-2)-3ln(2) ?
The solution to ln(x-2)-3ln(2) is ln((x-2)/8)