Logarithms....again!!!!

[airbornewife29]

Can you help me with this question.

Question: What would loga3?[(x8y12)/(x3z5)] be if expressed as an equivalent expression, using individual logarithms of x, y, and z ?

 

[mmm4444bot]

Start by simplifying the radicand.

Does this look like what you were given?

\(\displaystyle \log_{a} \left ( 3 \cdot \sqrt{\frac{x^8y^{12}}{x^3z^5}} \right )\)

 

[airbornewife29]

I believe that is what it would look like. What about the brackets and parenthesis? Aren't those important?

 

[Deleted member 4993]

I believe that is what it would look like. What about the brackets and parenthesis? Aren't those important?

Yes those are important as you are typing in with "regular" type-writer script. When you can show fraction and clearly indicate wihich part is denominator - then those become less important.

 

[mmm4444bot]

I believe that is what it would look like.

Ah, it sounds like you did not receive mathematical typesetting.

I'll assume, then, that you re-typed the expressions exactly as it appears on your materials.

To start, can you simplify the radicand? (The "radicand" is the expression inside the square-root symbol.)