What is the answer to 3394=3000(1+0.025)^x ?

The answer to 3394=3000(1+0.025)^x is x=(ln(1697/1500))/(ln(1.025))

Solve for x: 3394=3000(1+0.025)^x

The solution is x=(ln(1697/1500))/(ln(1.025))

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3394 = 3000 (1 + 0.025)^{x}

x = \frac{ln ( \frac{1697}{1500} )}{ln ( 1.025 )}

Solution steps

3394 = 3000 (1 + 0.025)^{x}

Switch sides

3000 (1 + 0.025)^{x} = 3394

Divide both sides by

3000

(1 + 0.025)^{x} = \frac{1697}{1500}

Apply exponent rules

x ln (1 + 0.025) = ln (\frac{1697}{1500})

Solve

x ln (1 + 0.025) = ln (\frac{1697}{1500}) : x = \frac{ln ( \frac{1697}{1500} )}{ln ( 1.025 )}

x = \frac{ln ( \frac{1697}{1500} )}{ln ( 1.025 )}

\frac{2 ^{3 (c - 3)}}{2 ^{3}} = 2^{2}

2 \cdot 3^{x} = 162

2^{y + 1} = 5

69 = 1 1^{x}

2^{2 x} = 5^{1 - 2 x}

What is the answer to 3394=3000(1+0.025)^x ?
The answer to 3394=3000(1+0.025)^x is x=(ln(1697/1500))/(ln(1.025))
Solve for x: 3394=3000(1+0.025)^x
The solution is x=(ln(1697/1500))/(ln(1.025))