What is the answer to 3=15(1-0.03)^x ?

The answer to 3=15(1-0.03)^x is x=-(ln(5))/(ln(0.97))

Solve for x: 3=15(1-0.03)^x

The solution is x=-(ln(5))/(ln(0.97))

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3 = 15 (1 - 0.03)^{x}

x = - \frac{ln ( 5 )}{ln ( 0.97 )}

Decimal Notation

x = 52.83912 \dots

Solution steps

3 = 15 (1 - 0.03)^{x}

Switch sides

15 (1 - 0.03)^{x} = 3

Divide both sides by

15

(1 - 0.03)^{x} = \frac{1}{5}

Apply exponent rules

x ln (1 - 0.03) = ln (\frac{1}{5})

Solve

x ln (1 - 0.03) = ln (\frac{1}{5}) : x = - \frac{ln ( 5 )}{ln ( 0.97 )}

x = - \frac{ln ( 5 )}{ln ( 0.97 )}

e^{x^{2} + x} - e^{6} = 0

7^{x^{2}} - 4 9^{6 - 2 x} = 0

7^{6 x + 7} = 2

x + 5 = 5^{x}

What is the answer to 3=15(1-0.03)^x ?
The answer to 3=15(1-0.03)^x is x=-(ln(5))/(ln(0.97))
Solve for x: 3=15(1-0.03)^x
The solution is x=-(ln(5))/(ln(0.97))