What is the answer to 4=20(1-0.06)^x ?

The answer to 4=20(1-0.06)^x is x=-(ln(5))/(ln(0.94))

Solve for x: 4=20(1-0.06)^x

The solution is x=-(ln(5))/(ln(0.94))

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4 = 20 (1 - 0.06)^{x}

x = - \frac{ln ( 5 )}{ln ( 0.94 )}

Decimal Notation

x = 26.01094 \dots

Solution steps

4 = 20 (1 - 0.06)^{x}

Switch sides

20 (1 - 0.06)^{x} = 4

Divide both sides by

20

(1 - 0.06)^{x} = \frac{1}{5}

Apply exponent rules

x ln (1 - 0.06) = ln (\frac{1}{5})

Solve

x ln (1 - 0.06) = ln (\frac{1}{5}) : x = - \frac{ln ( 5 )}{ln ( 0.94 )}

x = - \frac{ln ( 5 )}{ln ( 0.94 )}

5^{100} - 5^{99} = 5^{x} \cdot 4

5^{5 x + 4} = 35

0 = x + x e^{x}

3^{(5 - x)} = 2^{(5 + x)}

e^{6 - 4 x} = 3

What is the answer to 4=20(1-0.06)^x ?
The answer to 4=20(1-0.06)^x is x=-(ln(5))/(ln(0.94))
Solve for x: 4=20(1-0.06)^x
The solution is x=-(ln(5))/(ln(0.94))