What is 2/3 log_{10}((10^{12})/(10^{4.4)}) ?

The solution to 2/3 log_{10}((10^{12})/(10^{4.4)}) is 76/15

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simplify 2/3 log_{10}((10^{12})/(10^{4.4)})

simplify

\frac{2}{3} lo g_{10} (\frac{1 0 ^{12}}{1 0 ^{4.4}})

\frac{76}{15}

Decimal Notation

5.06666 \dots

Solution steps

\frac{2}{3} lo g_{10} (\frac{1 0 ^{12}}{1 0 ^{4.4}})

\frac{1 0 ^{12}}{1 0 ^{4.4}} = 1 0^{7.6}

= \frac{2}{3} lo g_{10} (1 0^{7.6})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{7.6}) = 7.6

= \frac{2}{3} \cdot 7.6

Simplify

\frac{2}{3} \cdot 7.6 : \frac{76}{15}

= \frac{76}{15}

\frac{x ^{5} + 243}{x + 3}

\frac{9}{81}

(2 t^{- 3})^{- 2}

(3 x - 1) (x^{2} + 4 x - 5)

36 \times 2

What is 2/3 log_{10}((10^{12})/(10^{4.4)}) ?
The solution to 2/3 log_{10}((10^{12})/(10^{4.4)}) is 76/15