Question

Please verify : assume x,y and z are positive use the properties of logarithms to write
-2logb(x)-6logb(y)+1/7logb(z). As one logarithm

Logb(x)^-2+ logb(y)^-6 + logb(z)^1/7

Logx^-2y^-6z^1/7?

Answer 1

\[-2\log_{b} x-6\log_{b} y+\frac{ 1 }{ 7}\log_{b} z=-\log_{b} x^2-\log_{b} y^6+\log_{b} z ^{\frac{ 1 }{ 7 }}\]
\[=\log_{b} \frac{ z ^{\frac{ 1 }{ 7 }} }{ x^2y^6 }\]

Answer 2

I see where I went wrong. Thank you for the help!

Answer 3

yw