What is join 2log_{10}(2+sqrt(3)) ?

The solution to join 2log_{10}(2+sqrt(3)) is log_{10}(7+4sqrt(3))

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join 2log_{10}(2+sqrt(3))

join

2 lo g_{10} (2 + 3)

lo g_{10} (7 + 43)

Decimal Notation

1.14389 \dots

Solution steps

2 lo g_{10} (2 + 3)

Apply log rule:

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

2 lo g_{10} (2 + 3) = lo g_{10} ((2 + 3)^{2})

= lo g_{10} ((2 + 3)^{2})

(2 + 3)^{2} = 7 + 43

= lo g_{10} (7 + 43)

- lo g_{10} (3.8 \cdot 1 0^{- 5})

ln (\frac{3 x ^{5}}{y})

ln (8 c)

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

\frac{1}{180} (ln ∣ 180 x - 30 ∣ - ln (30))

What is join 2log_{10}(2+sqrt(3)) ?
The solution to join 2log_{10}(2+sqrt(3)) is log_{10}(7+4sqrt(3))