Question

Ariel

求解拜託🥺 log

15.dog = alog7=b,試將下列各數以a,b表示:(1)log3000 =
2
--
D1 10/
3
-2-0
(2) log21 =
(3) log49 =
mtb
m² + y =mx+b
y=-3m+b
-3=b
y=-3mtb
(-3m+b=0
3m=b
-2
w/n
-2
exto 1000 a 0+3
a+b
>b
ab
2
b ²
y

Answer 1

✨ 最佳解答 ✨

貞

*logA+logB=log(AB)

(1)log3000=log(3×1000)
=log3+log1000
=a+3
(2)log21=log(3×7)
=log3+log7
=a+b
(3)log49=log(7×7)
=log7+log7
=2b

另個想法：(3)亦可利用logA²=2logA解
→此公式次方可換其他實數

Ariel

謝謝你～