jika diketahui log 2 = 0, 3010 dan log 3 = 0, 4771 Tentukan logaritma berikut : a. log 30 b. log 90 c. log 45
Matematika
viyaviya
Pertanyaan
jika diketahui log 2 = 0, 3010 dan log 3 = 0, 4771 Tentukan logaritma berikut : a. log 30 b. log 90 c. log 45
1 Jawaban
-
1. Jawaban Rpuji
log2 =0,3010
log3 =0,4771
log 30 =log(3×10)
= log 3 + log 10
= 0,4771 + 1
= 1,4771
log90 = log (9×10)
= log 3^2 + log 10
= 2log3 +log 10
= 2×0,4771 + 1
= 0,9542 +1
= 1,9542
log45 = log (3^2×10/2)
= log 3^2+ log (10/2)
= 2log 3+ log 10 -log2
= 2×0,4771 + 1 -0,3010
= 0,9542 + 0,6990
= 1,6532