Asked by Anonymous
What is the expand, and condense of: log_7 (x^3/y)^3
are these correct?
expand: 3 log_7 (x^3) – 3 log_7 (y)
condense: log_7 (x^9/y^3)
are these correct?
expand: 3 log_7 (x^3) – 3 log_7 (y)
condense: log_7 (x^9/y^3)
Answers
Answered by
Reiny
If your original was
log<sub>7</sub>( (x^3/y)^3 )
then your last line of
3 log<sub>7</sub> (x^3) – 3 log<sub>7</sub> (y)
can be taken one step further to
9 log<sub>7</sub> x - 3 log<sub>7</sub> y
I agree with your other result
log<sub>7</sub>( (x^3/y)^3 )
then your last line of
3 log<sub>7</sub> (x^3) – 3 log<sub>7</sub> (y)
can be taken one step further to
9 log<sub>7</sub> x - 3 log<sub>7</sub> y
I agree with your other result
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