What is the answer to 40000=30000\times (1+0.04)^x ?

The answer to 40000=30000\times (1+0.04)^x is x=(ln(4/3))/(ln(1.04))

Solve for x: 40000=30000\times (1+0.04)^x

The solution is x=(ln(4/3))/(ln(1.04))

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40000 = 30000 \cdot (1 + 0.04)^{x}

x = \frac{ln ( \frac{4}{3} )}{ln ( 1.04 )}

Decimal Notation

x = 7.33495 \dots

Solution steps

40000 = 30000 (1 + 0.04)^{x}

Switch sides

30000 (1 + 0.04)^{x} = 40000

Divide both sides by

30000

(1 + 0.04)^{x} = \frac{4}{3}

Apply exponent rules

x ln (1 + 0.04) = ln (\frac{4}{3})

Solve

x ln (1 + 0.04) = ln (\frac{4}{3}) : x = \frac{ln ( \frac{4}{3} )}{ln ( 1.04 )}

x = \frac{ln ( \frac{4}{3} )}{ln ( 1.04 )}

1 6^{x + 1} = 6 4^{x - 2}

5 (2^{3 - x}) - 13 = 100

5^{x} - 7 \cdot 5^{x - 2} = 90

5^{2 x} = 2 5^{3 x + 2}

7^{x} = 64

What is the answer to 40000=30000\times (1+0.04)^x ?
The answer to 40000=30000\times (1+0.04)^x is x=(ln(4/3))/(ln(1.04))
Solve for x: 40000=30000\times (1+0.04)^x
The solution is x=(ln(4/3))/(ln(1.04))