Question

Write as a single logarithm
3loga x + 4loga y- 1/3loga z

Answer 1

use the properties of logarithm bellow :
* m loga c = loga (c^m)
** loga b + loga c = loga (b*c)
*** loga b - loga c = loga (b/c)

Answer 2

Sorry I'm do far beyond confused with this problem

Answer 3

\[3\log_a x + 4\log_a y- \frac{1}{3}\log_a z=\log_a x^3 + \log_a y^4- \log_a z^{\frac{1}{3}}\]Power rule first.

Answer 4

Then the product and quotient rules\[=\log_a \frac{x^3y^4}{z^{\frac{1}{3}}}\]