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# How do I get the value of x?

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How do I get the value of x?

$$\frac{2,9*1,9^x}{1,1^x}=5,7$$

Feb 3, 2022

#1
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Solve for x:
2.9 x 1.72727^x = 5.7

2.9 x 1.72727^x = 29/10 (19/11)^x and 5.7 = 57/10:
29/10 (19/11)^x = 57/10

Multiply both sides by 10/29:
(19/11)^x = 57/29

Take the logarithm base 19/11 of both sides:

x = log(57/29)/log(19/11)==~1.23642

Feb 3, 2022
#2
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Start by dividing both sides by 2.9

1.9x / 1.1x   = 1.9655    Now take the x root of both sides

1.9 / 1.1   = 1.96551/x    Now LOG both sides

.237361 = 1/x (.29347)

x = 1.2364

Feb 3, 2022