Tentukan nilai x (x bilangan nyata positif) a. ²log(2x+1)=4 b. ⁴log (4×.4)=2-x c. log x=⅓ log 8+9 -⅓ log 27 d. ²log (x²-3x+7)=²log (3x+2)
Matematika
Ayudiah18
Pertanyaan
Tentukan nilai x (x bilangan nyata positif)
a. ²log(2x+1)=4
b. ⁴log (4×.4)=2-x
c. log x=⅓ log 8+9 -⅓ log 27
d. ²log (x²-3x+7)=²log (3x+2)
a. ²log(2x+1)=4
b. ⁴log (4×.4)=2-x
c. log x=⅓ log 8+9 -⅓ log 27
d. ²log (x²-3x+7)=²log (3x+2)
1 Jawaban
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1. Jawaban khominghoo
a. ²log(2x+1)=4
²log(2x+1) = ²log2⁴
2x + 1 = 16
2x = 16-1 = 15
x = 15/2 = 7½
b. ⁴log (4×.4)=2-x
⁴log 4² = ⁴log^(2-x)
2 = 2 - x
x = 0
d. ²log (x²-3x+7)=²log (3x+2)
x² - 3x - 3x +7 -2 = 0
x² -6x +5 = 0
(x-5)(x-1) = 0
x = 5 atau x = 1