log6(3x + 15) = 3, then x =?
回答 (12)
✔ 最佳答案
3x + 15 = 6^3 = 216
3x = 201
x = 67
3 x + 15 = 6 ³
3 x + 15 = 216
3 x = 201
x = 67
rewrite in exponential form
6 ^ 3 = (3x + 15)
216 = 3x + 15......subtract 15
201 = 3x.....divide by 3
67 = x <----------solution
hope this helps !
(3x + 15) = 6^3
(x+5) = 72
x = 67
log[6] (3x + 15) = 3
3x + 15 = 6^3 = 216
3x = 201
x = 67
u know
if log b to the base a= n, then b= a^n
given log(3x+15)to base6 = 3
here a=6, n=3 and b=3x+15
so 3x+15 = 6³
3x=6³-15, x= 201/3=67
log_6(3x + 15) = 3
3x + 15 = 6^3
3x + 15 = 216
3x = 216 - 15
x = 201/3
x = 67
Most of the answers which get the x value as 67 are correct.
收錄日期: 2021-05-01 12:31:43
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