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Write the following as the sum and/ or differences of logarithm. Assume all variables are positive.

Write the following as the sum and/ or differences of logarithm. Assume all variables-example-1
User Techdude
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Recall that


\log (a)/(b)=\log a-\log b

Thus, we have


\log (10z)/(4)=\log 10z-\log 4

Since


\log ab=\log a+\log b

we can rewrite the first term, log 10z, as follows


\log 10z-\log 4=\log 10+\log z-\log 4

Therefore,


log(10z)/(4)=\log 10+\log z-\log 4

User IshanGarg
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