TRY IT:

Rewrite this as a bunch of little logs:

log( z * w^( 8 ) / y * x^( 6 ) )


They only get a little messier...

Ln( 5 * x^( 2 ) * z / w^( 3 ) * y^( 4 ) )^( 6 ) = 6 * Ln( 5 * x^( 2 ) * z / w^( 3 ) * y^( 4 ) ) = 6 [ Ln( 5 ) + 2 * Ln( x ) + Ln( z ) - 3 * Ln( w ) - 4 * Ln( y ) ] = 6 * Ln( 5 ) + 12 * Ln ( x ) + 6 * Ln( z ) - 18 * Ln( w ) - 24 * Ln( y )


The only other thing they'll throw at you is roots...

When this happens, just switch over to exponential notation:

square root( x ) = x^( 1 / 2 )


YOUR TURN:

Rewrite this as a bunch of little logs:

log( square root( ( x * z^( 6 ) ) / ( 3 * y^( 2 ) * w^( 4 ) ) ) )