What is expand log_{2}((5/4)^{x-3}) ?

The solution to expand log_{2}((5/4)^{x-3}) is (x-3)log_{2}(5/4)

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expand log_{2}((5/4)^{x-3})

expand

lo g_{2} ((\frac{5}{4})^{x - 3})

(x - 3) lo g_{2} (\frac{5}{4})

Solution steps

lo g_{2} ((\frac{5}{4})^{x - 3})

Apply log rule:

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

lo g_{2} ((\frac{5}{4})^{x - 3}) = (x - 3) lo g_{2} (\frac{5}{4})

= (x - 3) lo g_{2} (\frac{5}{4})

lo g_{5} (\frac{a ^{2} b ^{2} x}{c ^{3}})

lo g_{10} (\frac{x y ^{2}}{z})

ln (y e^{x})

- lo g_{10} (4.5 \cdot 1 0^{- 4})

ln (\frac{x ^{2}}{x ( 1 + x ) ^{5}})

What is expand log_{2}((5/4)^{x-3}) ?
The solution to expand log_{2}((5/4)^{x-3}) is (x-3)log_{2}(5/4)