Soal dan Pembahasan Logaritma Kelas X Sukino Peminatan LKS 5 Bag A no 8

8. Jika ^√(2√2)log x = 1/(1 - log 5) , maka x = ...

a. 10

b. 100

c. 1000

d. 0,1

e. ⁴√1000

Jawaban : E

^√(2√2)log x = 1/(1 - log 5)

^{2^3/4}log x = 1/(log 10 - log 5)

4/3 . ²log x = 1/(log 10/5)

4/3 . ²log x = 1/(log 2)

4/3 . ²log x . log 2 = 1

4/3 . log 2 . ²log x = 1

4/3 . log x = 1

log x = 3/4

¹⁰log x = 3/4

10^3/4 = x

x = ⁴√1000