In: Math
5. Use the Laws of Logarithms to combine the expression: 3 (log5 (x) + 3 log 5 (y)−4 log 5 (z) )
Applying logarithmic property
Applying logarithmic property
Applying logarithmic property
Applying logarithmic property
Therefore,
The combined logarithmic expression is,
Verification:
We can verify by expanding the expression
Applying logarithmic property
Applying logarithmic property
Applying logarithmic property
Applying logarithmic property
Which is same as the expanded form.
Therefore,
The combined expression is,