Jawab:
ekponen dengan logaritma
sifat
i) log a - log b = log (a/b)
ii) ᵃlogb = ⁿlog b / ⁿlog a
iii) ᵃ^ⁿlog aˣ = x/n
Penjelasan dengan langkah-langkah:
4²ˣ⁻¹ = 2ˣ⁻¹
..
(2x - 1) log 4 = ( x- 1) log 2
2x. log 4 - log 4 = x log 2 - log 2
2x log 4 - x log2 = log 4 - log 2
x ( 2 log 4 - log 2) = (log 4 - log 2)
x (log 4² -log 2) = (log 4 - log 2)
x = [ log 4 - log 2) ] / [ log 4² - log 2 ]
x = log (2)/ log (8)
x = ⁸log 2 = ²^³log 2¹
x = ¹/₃ (²log 2)
x = ¹/₃
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Jawab:
ekponen dengan logaritma
sifat
i) log a - log b = log (a/b)
ii) ᵃlogb = ⁿlog b / ⁿlog a
iii) ᵃ^ⁿlog aˣ = x/n
Penjelasan dengan langkah-langkah:
4²ˣ⁻¹ = 2ˣ⁻¹
..
(2x - 1) log 4 = ( x- 1) log 2
2x. log 4 - log 4 = x log 2 - log 2
2x log 4 - x log2 = log 4 - log 2
x ( 2 log 4 - log 2) = (log 4 - log 2)
x (log 4² -log 2) = (log 4 - log 2)
x = [ log 4 - log 2) ] / [ log 4² - log 2 ]
x = log (2)/ log (8)
x = ⁸log 2 = ²^³log 2¹
x = ¹/₃ (²log 2)
x = ¹/₃