Question

Select the correct answer.

Answer 1

Answer:

$\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )$

Step-by-step explanation:

Given

$\log_{3} ({5\sqrt{x}} * y )$

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

$\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )$

Expand

$\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )$

Apply addition law

$\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )$