Question

If ln a=2, ln b=3, and ln c=5, evaluate the following

ln(a^-4/b^-4c^3)

lnsqrt b^-2c^-1a^4

ln(a^-3b^4)/ln(bc)^-1

ln(c^-1)(lna/b^-4)^4

Answer 1

1)
\[ln(a^{-4}/b^{-4c^3})\]
\[ln(2^{-4}/3^{-4*5^3})\]
\[ln[(1/2^{4})/(1/3^{4*125})]\]
\[ln[(1/16)/(1/3^{500})]\]
\[ln(1/16) - ln(1/3^{500})\]
\[ln(1) - ln(16) - ln(1) -ln(3^{500})\]
\[ln(1) - ln(16) - ln(1) -500ln(3)\]
\[0 - ln(16) - 0 -500ln(3)\]
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. arg too lengthy