What is 2/3 (log_{10}(E)-log_{10}(0.7)) ?

The solution to 2/3 (log_{10}(E)-log_{10}(0.7)) is (2log_{10}(E/7)+2)/3

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simplify 2/3 (log_{10}(E)-log_{10}(0.7))

simplify

\frac{2}{3} (lo g_{10} (E) - lo g_{10} (0.7))

\frac{2 lo g _{10} ( \frac{E}{7} ) + 2}{3}

Solution steps

\frac{2}{3} (lo g_{10} (E) - lo g_{10} (0.7))

Simplify

lo g_{10} (E) - lo g_{10} (0.7) : lo g_{10} (\frac{E}{7}) + 1

= \frac{2}{3} (lo g_{10} (\frac{E}{7}) + 1)

Expand

\frac{2}{3} (lo g_{10} (\frac{E}{7}) + 1) : \frac{2 lo g _{10} ( \frac{E}{7} ) + 2}{3}

= \frac{2 lo g _{10} ( \frac{E}{7} ) + 2}{3}

ln (\frac{- 3.95 + 8.05}{31.8})

ln (x + 2) + ln (3)

lo g_{2} (\frac{16}{x - 1})

ln (\frac{1}{21})

lo g_{10} (8) - lo g_{10} (6)

What is 2/3 (log_{10}(E)-log_{10}(0.7)) ?
The solution to 2/3 (log_{10}(E)-log_{10}(0.7)) is (2log_{10}(E/7)+2)/3