Jika ²log √x²-16=2 maka ×log 2=

LogAritMa

²log √(x² - 16) = 2
√(x² - 16) = 2²
x² - 16 = 4²
x² = 16 + 16
x = √32
x = 4√2 = 2^5/2

x'log 2
= (2^5/2)'log 2
= 2/5

2log √(x^2-16) = 2
berdasarkan definisi logaritma maka
√(x^2 -16) = 2^2
√(x^2-16) = 4 (kuadratkan)
x^2 -16 = 16
x^2 = 16+16
x^2 = 32
x = +,- √32
x = +,- 4√2
xlog 2 = log 2/log x
= log 2/log √32
= log 2/log (2^5)^1/2
= log 2/log 2^5/2
= log 2/5/2.log 2
= 1/(5/2)
= 2/5