What is expand log_{10}(5^{3-x}) ?

The solution to expand log_{10}(5^{3-x}) is (3-x)log_{10}(5)

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expand log_{10}(5^{3-x})

expand

lo g_{10} (5^{3 - x})

(3 - x) lo g_{10} (5)

Solution steps

lo g_{10} (5^{3 - x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (5^{3 - x}) = (3 - x) lo g_{10} (5)

= (3 - x) lo g_{10} (5)

lo g_{3} (6 x^{2})

ln (\frac{3}{0.7})

\frac{1}{3} ln (4) - \frac{1}{3} ln (3)

9 \cdot ln (\frac{2}{3})

\frac{1}{4} ln (\frac{1 + x}{1 - x})

What is expand log_{10}(5^{3-x}) ?
The solution to expand log_{10}(5^{3-x}) is (3-x)log_{10}(5)