Problem

Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive. \[ \log (\mathrm{x})+\log (15 \mathrm{z}) \] Answer Keypad Keyboard Shortcuts

Solution

Step 1 :The properties of logarithms state that the sum of two logarithms with the same base can be written as a single logarithm with the base and the product of the arguments of the original logarithms as its argument. Therefore, we can combine the two terms in the expression into a single logarithm.

Step 2 :The condensed form of the expression is \(\boxed{\log (15xz)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/HUeTh2mKAE/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download