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Anonymous asked in Education & ReferenceHomework Help · 13 hours ago

Use exponent laws to explain why 3ln(2) is equivalent to ln(8). Homework help pls?

My teacher writes her own questions on assignments, and most of the time I don't understand them, so can you help me. This is logarithmic math, and I swear we literally didn't learn the exponent law in class lmao, Thanks. 

2 Answers

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  • Daniel H
    Lv 5
    10 hours ago

    aln(b) = ln(b^a)

    8 = 2^3

    ln(8) = ln(2^3) = 3ln(2)

  • fcas80
    Lv 7
    12 hours ago

    LN(8) = LN(2*2*2) = LN(2)+LN(2)+LN(2) = 3LN(2)

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