(((1/4)^2x-2)/(64^-3x))=4^3

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Solution for (((1/4)^2x-2)/(64^-3x))=4^3 equation:


D( x )

64^-3*x = 0

64^-3*x = 0

64^-3*x = 0

1/262144*x = 0 // : 1/262144

x = 0

x in (-oo:0) U (0:+oo)

((1/4)^2*x-2)/(64^-3*x) = 4^3 // - 4^3

((1/4)^2*x-2)/(64^-3*x)-4^3 = 0

(1/16*x-2)/(1/262144*x)-64 = 0

(1/16*x-2)/(1/262144*x)+(-64*1/262144*x)/(1/262144*x) = 0

1/16*x-64*1/262144*x-2 = 0

255/4096*x-2 = 0

(255/4096*x-2)/(1/262144*x) = 0

(255/4096*x-2)/(1/262144*x) = 0 // * x/262144

255/4096*x-2 = 0

255/4096*x-2 = 0 // + 2

255/4096*x = 2 // : 255/4096

x = 2/255/4096

x = 8192/255

x = 8192/255

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