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cosx+1,3-lnx=0 equation

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Numerical solution:

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The solution

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         13             
cos(x) + -- - log(x) = 0
         10             
$$\left(\cos{\left(x \right)} + \frac{13}{10}\right) - \log{\left(x \right)} = 0$$
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Numerical answer [src]
x1 = -7.61173175277761 + 1.81678138845468*i
x2 = 2.14017771070918
x3 = -38.6340926234014 - 2.05479475887556*i
x4 = -82.4800611679745 - 2.17590708413595*i
x5 = 5.03415933218493
x6 = -82.4800611679745 + 2.17590708413595*i
x7 = -69.9408429083442 - 2.14948275221517*i
x8 = -76.2097295439943 + 2.16324108230702*i
x9 = -26.1498302011557 + 1.99390489794396*i
x10 = 7.12781891904512
x11 = -13.736893267462 + 1.89823466052982*i
x12 = -32.3869776301378 + 2.02707315818412*i
x13 = 12.4919417307679 + 0.665733511863369*i
x14 = -38.6340926234014 + 2.05479475887556*i
x15 = -57.4087590325493 - 2.11784682857925*i
x16 = -32.3869776301378 + 2.02707315818412*i
x17 = -44.8879262705199 + 2.07857809771027*i
x18 = -1.73742429667838 + 1.61902691351804*i
x19 = -63.6737133655822 + 2.13443586038668*i
x20 = -63.6737133655822 - 2.13443586038668*i
x21 = -26.1498302011557 - 1.99390489794396*i
x22 = -57.4087590325493 + 2.11784682857925*i
x23 = -51.1465560895466 - 2.09938002814614*i
x24 = -101.297589039919 + 2.20875552377539*i
x25 = -19.9287253351106 + 1.95268782873265*i
x26 = -107.571774305241 + 2.21833193052313*i
x27 = -19.9287253351106 - 1.95268782873265*i
x27 = -19.9287253351106 - 1.95268782873265*i