5^x*2^y=20 log(x+y)*1/log(3)=2

$$2^{y} 5^{x} = 20$$

log(x + y)
———- = 2
log(3)

$$frac{log{left (x + y right )}}{log{left (3 right )}} = 2$$

$$x_{1} = frac{- log{left (5 right )} + log{left (128 right )}}{- log{left (5 right )} + log{left (2 right )}}$$
=
$$frac{- log{left (5 right )} + log{left (128 right )}}{- log{left (5 right )} + log{left (2 right )}}$$
=

-3.53882478419618

$$y_{1} = frac{- log{left (390625 right )} + log{left (4 right )}}{- log{left (5 right )} + log{left (2 right )}}$$
=
$$frac{- log{left (390625 right )} + log{left (4 right )}}{- log{left (5 right )} + log{left (2 right )}}$$
=

12.5388247841962

x1 = -3.53882478419618 + 7.163450848759241e-26*i
y1 = 12.53882478419618 – 1.663301778782746e-25*i

x2 = -3.53882478419618
y2 = 12.53882478419618

x3 = -3.538824784195429 + 5.380555890741548e-14*i
y3 = 12.53882478419444 – 1.24932638888245e-13*i

x4 = -3.53882478419618 – 6.978603702601558e-23*i
y4 = 12.53882478419618 + 1.620381600017171e-22*i

x5 = -3.53882478419618 + 3.625317423853821e-20*i
y5 = 12.53882478419618 – 8.417726379330372e-20*i

x6 = -3.53882478419618 + 3.461038012894994e-33*i
y6 = 12.53882478419618 – 8.036320738367451e-33*i

x7 = -3.53882478419618 – 2.571633115835559e-19*i
y7 = 12.53882478419618 + 5.971147181400969e-19*i