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Solution 3.3:5b

From Förberedande kurs i matematik 1

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By using the logarithm laws,

lna+lnblna−lnb=ln(ab)=lnba

we can collect together the terms into one logarithmic expression

ln8−ln4−ln2=ln8−(ln4+ln2)=ln8−ln(42)=ln842=ln1=0

where ln1=0, since e0=1 (the equality a0=1 holds for all a=0).

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