What is the answer to solvefor x,10000=5000(1+((0.06)/4))^{x(0.06)} ?

The answer to solvefor x,10000=5000(1+((0.06)/4))^{x(0.06)} is x=(ln(2)}{0.06ln(\frac{4.06)/4)}

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Solve for x 10000=5000(1+(0.06/4))^(x(0.06))

solve for

x, 10000 = 5000 (1 + (\frac{0.06}{4}))^{x (0.06)}

x = \frac{ln ( 2 )}{0.06 ln ( \frac{4.06}{4} )}

Decimal

x = 775.92542 \dots

Solution steps

10000 = 5000 (1 + (\frac{0.06}{4}))^{x (0.06)}

Switch sides

5000 (1 + \frac{0.06}{4})^{x 0.06} = 10000

Divide both sides by

5000

(1 + \frac{0.06}{4})^{x 0.06} = 2

Apply exponent rules

x \cdot 0.06 ln (1 + \frac{0.06}{4}) = ln (2)

Solve

x \cdot 0.06 ln (1 + \frac{0.06}{4}) = ln (2) : x = \frac{ln ( 2 )}{0.06 ln ( \frac{4.06}{4} )}

x = \frac{ln ( 2 )}{0.06 ln ( \frac{4.06}{4} )}

4 \frac{1}{2} /3

(2 x^{2})^{4}

π \cdot 25

2 \frac{5}{8} /2

x^{2} + 15 x + 50 = 0

What is the answer to solvefor x,10000=5000(1+((0.06)/4))^{x(0.06)} ?
The answer to solvefor x,10000=5000(1+((0.06)/4))^{x(0.06)} is x=(ln(2)}{0.06ln(\frac{4.06)/4)}