Rewrite in terms of simpler logs (expand)
Im not sure how to type the problem but it looks like loga(7 above square root sign. Inside the square root it looks like x^14y^2 / z^4)

What I got was 2loga(x)+ 2/7loga(y)- 4/7loga(z)

The next one says Rewrite as single log (condense)
2/3loga(x^9y^6)+4loga(x^3/4)-5loga(y)

I got loga(y^20)

2. Originally Posted by Jluse7
Rewrite in terms of simpler logs (expand)
Im not sure how to type the problem but it looks like loga(7 above square root sign. Inside the square root it looks like x^14y^2 / z^4)

What I got was 2loga(x)+ 2/7loga(y)- 4/7loga(z) <<<<<<<< OK

The next one says Rewrite as single log (condense)
2/3loga(x^9y^6)+4loga(x^3/4)-5loga(y)

I got loga(y^20)
$\frac23 \log_a(x^9 \cdot y^6) + 4 \log_a(x^{\frac34}) - 5 \log_a(y) =$
$\log_a(x^6 \cdot y^4) + \log_a(x^3) - \log_a(y^5) =$
$\log_a\left(\dfrac{x^6 \cdot y^4 \cdot x^3}{y^5} \right) =$
$\log_a\left(\dfrac{x^9}{y} \right)$