If ln(𝑎)=2 ln ⁡ ( a ) = 2 , ln(𝑏)=3 ln ⁡ ( b ) = 3 , and ln(𝑐)=5 ln ⁡ ( c ) = 5 , evaluate the following: (ln 𝑐^3)(ln 𝑎/𝑏^4 )^−2

Question

If ln(𝑎)=2 ln ⁡ ( a ) = 2 , ln(𝑏)=3 ln ⁡ ( b ) = 3 , and ln(𝑐)=5 ln ⁡ ( c ) = 5 , evaluate the following:  (ln 𝑐^3)(ln 𝑎/𝑏^4 )^−2

Paul M. · Accepted Answer

This expression = 1/[(3 ln c)(ln a - 4 ln b)]2I will leave the actual arithmetic to you.

1 Expert Answer