2007-06-26 06:41:36 · 4 answers · asked by Carlton B 1 in Science & Mathematics ➔ Mathematics
10^2x-5=1000
10^(2x-5) =10^3
2x-5 = 3
2x= 8
x=4
(2x-5)ln10 = ln1000
2x-5 = ln1000/ln10
2x = ln1000/ln10 +5
x = (ln1000/ln10 +5)/2
x = (3 +5)/2 = 4
Two different ways give same answer.
2007-06-26 06:54:57 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
I assume you mean 10^(2x-5) = 1000, in which case this can be written as 10^(2x-5) = 10^3, which simplifies to 2x-5=3, or x = 4.
2007-06-26 06:57:22 · answer #2 · answered by Vince 2 · 0⤊ 0⤋
nicely, to start, you're taking ln of the two facets (organic log) so which you get ln4^(x+7)=ln6 using the regulation of logarithms, you may simplify the equation to: (x+7)ln4=ln6 simplify some extra... (divide by using ln4 on the two facets) (x+7)=ln6/ln4 so, x= ln6/ln4 -7 :D
2016-11-07 11:59:42 · answer #3 · answered by Anonymous · 0⤊ 0⤋
x=4 if ncorrect plz explain ur question
2007-06-26 06:54:28 · answer #4 · answered by Anonymous · 0⤊ 0⤋