Question

In: Math

5. Use the Laws of Logarithms to combine the expression: 3 (log5 (x) + 3 log...

5. Use the Laws of Logarithms to combine the expression: 3 (log5 (x) + 3 log 5 (y)−4 log 5 (z) )​

Solutions

Expert Solution

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,


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use change of base formula log base 2/3(.155)
use change of base formula log base 2/3(.155)
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