If $ v = m ^ { ( 6 - \frac { n } { r } ) } , $ ...

Question

$If $ v = m ^ { ( 6 - \frac { n } { r } ) } , $ ...$

If $ v = m ^ { ( 6 - \frac { n } { r } ) } , $ express $ n $ in terms of $ r , m $ and $ v $ by taking logarithms to base $ 10 . $

$ n = \frac { r } { \log m } ( 6 - \log v ) $

$ n = r \log m ( \log v - 6 \log m ) $

$ n = r ( 6 - \frac { \log v } { \log m } ) $

$ n = \frac { 1 } { m } ( 6 m r - r v )$

Answer

solve for $ n , v = m ( 6 - \frac { n } { r } ) : n = - \frac { r \ln ( v ) - 6 r \ln ( m ) } { \ln ( m ) }$

Solution

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