What is log x + log y - 2 log z written as a single logarithm?
1 answer:
Answer:
D) log (xy/z^2)
Step-by-step explanation:
The given expression is log x + log y - 2 log z
Here we use log rules to simplify this.
Product rule: log x + log y = log (xy)
Quotient rule : log x - log y = log(x/y)
Power rule: log(x^y) = y.log(x)
Using the product rule
log x + log y - 2 log z
= log(xy) - 2 log z
Use the power rule now.
= log(xy) - log z^2
Now we have to use the Quotient rule and simplify.
= log
Answer: D) log (xy/z^2)
Thank you.
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