How do you simplify $ln ( 8 / e^7 )$ ?

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Answer 1 · 2016-05-08T12:50:50

$3 ln 2 - 7 = -4.92$ , nearly.

Use $ln (m/n) = ln m - ln n, ln a^n=n ln a and ln e = 1$

$ln (8/e^7)=ln8-ln(e^7)$

$= ln 2^3-ln e^7$

$=3 ln 2-7 ln e = 3 ln 2-7(1)$

How do you simplify ln ( 8 / e^7 )ln ( 8 / e^7 )?