Question 62740
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(x=4/3)}}}
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!!!