jika ¹⁶log 7 = p, nyatakan logaritma berikut dalam p!
A. ²log 49
B. ¹⁴ log 98![]()
A. ²log 49
B. ¹⁴ log 98
Penjelasan dengan langkah-langkah:
lOgariTma
.
¹⁶log(7) = p
2⁴log(7) = ¼ . ²log(7) = p
{ ²log(7) } /4 = p ----> ²log(7) = 4p atau ⁷log(2)= 1/4p
.
a). ²log(49) = ²log(7²) = 2. ²log(7) = 2. 4p = 8p
b). ¹⁴log(98) = ²log(98)/²log(14) = ²log(7 x 7 x 2) / ²log(7 x 2) = ²log(7² x 2) / ²log(7 x 2) = { ²log(7²) + ²log(2)} / { ²log(7) + ²log(2)} = { 2. ²log(7) + 1 }/{ ²log(7) + 1 } = { 2. (4p) + 1 }/{ 4p + 1} = { 8p + 1}/{4p + 1}
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