What is the answer to 25=11(1+0.14)^x ?

The answer to 25=11(1+0.14)^x is x=(ln(25/11))/(ln(1.14))

Solve for x: 25=11(1+0.14)^x

The solution is x=(ln(25/11))/(ln(1.14))

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25 = 11 (1 + 0.14)^{x}

x = \frac{ln ( \frac{25}{11} )}{ln ( 1.14 )}

Decimal Notation

x = 6.26567 \dots

Solution steps

25 = 11 (1 + 0.14)^{x}

Switch sides

11 (1 + 0.14)^{x} = 25

Divide both sides by

11

(1 + 0.14)^{x} = \frac{25}{11}

Apply exponent rules

x ln (1 + 0.14) = ln (\frac{25}{11})

Solve

x ln (1 + 0.14) = ln (\frac{25}{11}) : x = \frac{ln ( \frac{25}{11} )}{ln ( 1.14 )}

x = \frac{ln ( \frac{25}{11} )}{ln ( 1.14 )}

2 x e^{x} = 0

y, ln (2 x) + e^{y} = 1

3000 = 30 \cdot 50000 0^{x}

45 = 220 (0.5)^{\frac{x}{10}} + 20

1500 = 0.8 5^{x} x 7600

What is the answer to 25=11(1+0.14)^x ?
The answer to 25=11(1+0.14)^x is x=(ln(25/11))/(ln(1.14))
Solve for x: 25=11(1+0.14)^x
The solution is x=(ln(25/11))/(ln(1.14))