SOLUTION: 10^6x-3=100,000

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Question 62740: 10^6x-3=100,000
Found 3 solutions by funmath, jai_kos, Cintchr:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I think you meant 6x-3 to all be the exponent, if I'm wrong let me know and I'll revise this.
10^(6x-3)=100,000
10^(6x-3)=10^5 Once the bases are the same, you can equate their exponents.
6x-3=5
6x-3+3=5+3
6x=8
6x/6=8/6
highlight%28x=4%2F3%29
Check:
10^(6(4/3)-3)=100,000
10^(2(4)-3)=100,000
10^(8-3)=100,000
10^5=100,000
100,000=100,000 We're right!!!
Happy Calculating!!!

Answer by jai_kos(139) About Me  (Show Source):
You can put this solution on YOUR website!

10 ^ 6x -3 = 10 ^5
Because 10 ^5 = 100,000

10 ^ 6x -3 = 10 ^5
Since the bases are same, we equate the powers.
i.e. 6x -3 = 5
Add 3 on both sides, we get
6x -3 + 3 = 5 + 3
6x = 8
Now divide the above equation by 6, we get
x = 8 / 6
x = 4 / 3

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
If I am reading this correctly ....
+10%5E%286x-3%29=100%2C000+
First change the right side to the proper form, in this case 10^5
+10%5E%286x-3%29=10%5E5+
since the bases are the same, set the exponents equal to one another
+6x-3+=+5+
add 3 to both sides
+6x+=+8+
divide by 6
+x+=+8%2F6+
reduce the fraction
+x+=+4%2F3+