What is the answer to 5510=5000(1+0.034)^x ?

The answer to 5510=5000(1+0.034)^x is x=(ln(551/500))/(ln(1.034))

Solve for x: 5510=5000(1+0.034)^x

The solution is x=(ln(551/500))/(ln(1.034))

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5510 = 5000 (1 + 0.034)^{x}

x = \frac{ln ( \frac{551}{500} )}{ln ( 1.034 )}

Decimal Notation

x = 2.90496 \dots

Solution steps

5510 = 5000 (1 + 0.034)^{x}

Switch sides

5000 (1 + 0.034)^{x} = 5510

Divide both sides by

5000

(1 + 0.034)^{x} = \frac{551}{500}

Apply exponent rules

x ln (1 + 0.034) = ln (\frac{551}{500})

Solve

x ln (1 + 0.034) = ln (\frac{551}{500}) : x = \frac{ln ( \frac{551}{500} )}{ln ( 1.034 )}

x = \frac{ln ( \frac{551}{500} )}{ln ( 1.034 )}

4^{2 n} = 64

2^{x + 3} = 2^{x - 2} + 62

e^{- 3 x} = 1

y, e^{x y} = 2 y

4 e^{2 x} x^{2} + 8 e^{2 x} x + 2 e^{2 x} = 0

What is the answer to 5510=5000(1+0.034)^x ?
The answer to 5510=5000(1+0.034)^x is x=(ln(551/500))/(ln(1.034))
Solve for x: 5510=5000(1+0.034)^x
The solution is x=(ln(551/500))/(ln(1.034))