What is the answer to 4300=7900(1-0.04)^x ?

The answer to 4300=7900(1-0.04)^x is x=(ln(43/79))/(ln(0.96))

Solve for x: 4300=7900(1-0.04)^x

The solution is x=(ln(43/79))/(ln(0.96))

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4300 = 7900 (1 - 0.04)^{x}

x = \frac{ln ( \frac{43}{79} )}{ln ( 0.96 )}

Decimal Notation

x = 14.90000 \dots

Solution steps

4300 = 7900 (1 - 0.04)^{x}

Switch sides

7900 (1 - 0.04)^{x} = 4300

Divide both sides by

7900

(1 - 0.04)^{x} = \frac{43}{79}

Apply exponent rules

x ln (1 - 0.04) = ln (\frac{43}{79})

Solve

x ln (1 - 0.04) = ln (\frac{43}{79}) : x = \frac{ln ( \frac{43}{79} )}{ln ( 0.96 )}

x = \frac{ln ( \frac{43}{79} )}{ln ( 0.96 )}

2 = 1.1 1^{x}

\frac{1}{2} (e^{x} - e^{- x}) = 0

0.062 5^{a + 4} = 0.062 5^{3 a + 4}

1.0 2^{n} + 50 \cdot n = - 200

x, t (x) = 75 + 275 e^{x}

What is the answer to 4300=7900(1-0.04)^x ?
The answer to 4300=7900(1-0.04)^x is x=(ln(43/79))/(ln(0.96))
Solve for x: 4300=7900(1-0.04)^x
The solution is x=(ln(43/79))/(ln(0.96))