jasminlokiram
jasminlokiram jasminlokiram
  • 22-03-2021
  • Mathematics
contestada

Solve for x, rounding to the nearest hundredth.
550.3^ x = 50

Solve for x rounding to the nearest hundredth 5503 x 50 class=

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xenia168
xenia168 xenia168
  • 23-03-2021

Answer:

- 2.18

Step-by-step explanation:

550 × [tex]3^{x}[/tex] = 50

[tex]3^{x}[/tex] = [tex]\frac{1}{11}[/tex]

[tex]log_{3}[/tex] [tex]\frac{1}{11}[/tex] = x

x = [tex]log_{3}[/tex] 1 - [tex]log_{3}[/tex] 11

[tex]log_{3}[/tex] 1 = 0

[tex]log_{3}[/tex] 11 = 2.1826583386

x ≈ - 2.18

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