Don't use x for multiplication. Use a dot, or *.
4*10^3*6*10^x all divided by 2.4*10-4 all equals 1.
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.
24*10^(3+x) divided by 2.4 * 10^-4.
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).
we now have 10*10^(7+x) = 1 (when multiplying bases with exponents, add the exponents. 10 is 10^1.)
10^(8+x) = 1 (any number to the 0 power is 1.)
10^(8+x) = 10^0 (If the same bases raised to different exponents are equal, then the exponents are equal.)
8+x = 0 (Subtract 8 from both sides.) x = -8
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