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

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Harshil Kotecha asked Apr 15, 2022

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

Mathematics
high-school

Harshil Kotecha asked Apr 15, 2022

by Harshil Kotecha

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1 Answer

7 votes

Answer:

- 2.18

Explanation:

550 ×
3^(x) = 50

3^(x) =
(1)/(11)

log_(3)
(1)/(11) = x

x =
log_(3) 1 -
log_(3) 11

log_(3) 1 = 0

log_(3) 11 = 2.1826583386

x ≈ - 2.18

Chris Herbst answered Apr 21, 2022

by Chris Herbst

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