Question 535731
Don't use x for multiplication.  Use a dot, or *.<P>


4*10^3*6*10^x all divided by 2.4*10-4 all equals 1.<P>

Scientific notation of x times 10^y  means you're multiplying x by that 10 raised to the y power.  So deal with those 10 to some power as any base raised to an exponent.<P>

24*10^(3+x)  divided by 2.4 * 10^-4.<P>

24/2.4 = 10 and (10^(3+x))/10^-4 = 10^(7+x)  (when dividing bases with exponents, subtract the exponents.  3+x-(-4) = 7+x).<P>

we now have 10*10^(7+x) = 1  (when multiplying bases with exponents, add the exponents.  10 is 10^1.)<P>

10^(8+x) = 1  (any number to the 0 power is 1.)<P>

10^(8+x) = 10^0   (If the same bases raised to different exponents are equal, then the exponents are equal.)<P>
8+x = 0 (Subtract 8 from both sides.)  x = -8<P>
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