SOLUTION: Find the exact value of x for which: 4^x * 5^(4x+3) = 10^(2x+3) I am aware that this question involves the change base rule, but i really need some guidance on where to start.

Question 304913: Find the exact value of x for which:
4^x * 5^(4x+3) = 10^(2x+3)
I am aware that this question involves the change base rule, but i really need some guidance on where to start. Your help would be much appreciated!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
not change base, just exponents...

2^(2x) * 5^(4x) * 5^3 = 5^(2x) * 5^3 * 2^(2x) * 2^3

5^(2x) = 2^3

2x = [log(5)] / [log(8)]
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