Write the following as a sum of logarithms: log(sqrt[5]((x^6y^(10))/(z^7)))

Sophie Marks

Sophie Marks

Answered question

2022-11-04

Write the following as a sum of logarithms:
log ( x 6 y 10 z 7 5 )

Answer & Explanation

Jaydon Roth

Jaydon Roth

Beginner2022-11-05Added 13 answers

Solved:
log ( x 6 y 10 z 7 5 ) = log ( x 6 y 10 z 7 ) 1 / 5 = 1 5 log ( x 6 y 10 z 7 ) = 1 5 [ log ( x 6 y 10 ) log ( z 7 ) ] = 1 5 [ 6 log ( x ) + 10 log ( y ) 7 l o g ( z ) ] = 6 5 log ( x ) + 10 5 log ( y ) 7 5 log ( z ) = 6 5 log ( x ) + 2 log ( y ) 7 5 log ( z )

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