We can combine 2 log ⁡ x + log ⁡ y − log ⁡ z to get ???

Question

We can combine   2  log  ⁡  x  +  log  ⁡  y  −  log  ⁡  z to get ???

Houston Ochoa · Accepted Answer

The given expression is in the logarithmic function with the algebraic symbols.
-Logarithmic properties can be used to find the combined expression.
-Logarithmic properties with the addition, subtraction and constant multiple can be used to combine the terms.
Apply the logarithmic properties to find the simplified form of the given expression.
Apply the constant multiple rules of the logarithmic functions in the first term of the given expression, which is defined as

m \log n = \log n^{m}

Apply the logarithmic property to add two or more log functions in equation (1), which is defined as

\log m + \log n = \log (m n)

Apply the logarithmic property to subtract one log function out of another one, which is defined as

\log m - \log n = \log \frac{m}{n}

2 \log x + \log y - \log x = \log x^{2} + \log y - \log z . . . . . . . (1) = \log (x^{2} y) - \log z = \log (\frac{x^{2} y}{z})

We can combine 2 log x+log y-log z to get ???

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