Question

C o n d e n s e t h e e x p r e s s i o n t o a s i n g l e l o g a r i t h m u s i n g t h e p r o p e r t i e s o f l o g a r i t h m s . l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) E n c l o s e a r g u m e n t s o f f u n c t i o n s i n p a r e n t h e s e s a n d i n c l u d e a m u l t i p l i c a t i o n s i g n b e t w e e n t e r m s . F o r e x a m p l e , c * l o g ( h ) . l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) =

          C o n d e n s e t h e e x p r e s s i o n t o a s i n g l e l o g a r i t h m u s i n g t h e p r o p e r t i e s o f l o g a r i t h m s . 

l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) 

E n c l o s e a r g u m e n t s o f f u n c t i o n s i n p a r e n t h e s e s a n d i n c l u d e a m u l t i p l i c a t i o n s i g n b e t w e e n t e r m s . F o r e x a m p l e , c * l o g ( h ) . 

l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) =

C o n d e n s e t h e e x p r e s s i o n t o a s i n g l e l o g a r i t h m u s i n g t h e p r o p e r t i e s o f l o g a r i t h m s .

l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z )

E n c l o s e a r g u m e n t s o f f u n c t i o n s i n p a r e n t h e s e s a n d i n c l u d e a m u l t i p l i c a t i o n s i g n b e t w e e n t e r m s . F o r e x a m p l e , c * l o g ( h ) .

l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) =

Added by Stephen M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Steven Clarke

12/20/2021

Step 1

Step 1:** Combine the logarithms using the properties of logarithms: \[log(x) + 2log(y) + 7log(2)\] ** Show more…

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C o n d e n s e t h e e x p r e s s i o n t o a s i n g l e l o g a r i t h m u s i n g t h e p r o p e r t i e s o f l o g a r i t h m s l o g ( x ) - 1 / 2 l o g ( y ) + 7 l o g ( z ) E n c l o s e a r g u m e n t s o f f u n c t i o n s i n p a r e n t h e s e s a n d i n c l u d e a m u l t i p l i c a t i o n s i g n b e t w e e n t e r m s . F o r e x a m p l e , c * l o g ( h ) .