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solve for x, 500 = 50*(1.23)^x

this is for an exponential functions task where 500 represents an animal population, 1.23 is the growth rate and 50 in the initial population.

x represents the periods in years

Respuesta :

[tex]\\ \sf\longmapsto 500=50\times (1.23)^x[/tex]

[tex]\\ \sf\longmapsto 1.23^x=10[/tex]

[tex]\\ \sf\longmapsto 1.23^x=1.23^{11.12}[/tex](Used scientific calculator)

[tex]\\ \sf\longmapsto x=11.12[/tex]

HayabusaBrainly

>> Answer

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[tex]\:[/tex]

  • Step by step :

500 = 50 × [tex](1,23)^x[/tex]

500 ÷ 50 = [tex](1,23)^x[/tex]

10 = [tex](1,23)^x[/tex]

[tex]\cancel{(1,23)}^{11,12}}[/tex] = [tex]\cancel{(1,23)}^x[/tex]

11,12 = x

Soo, Answer for Question 500 = 50 × [tex](1,23)^x[/tex] its x = 11,12