What is the answer to 50=200(0.75)^t ?

The answer to 50=200(0.75)^t is t=-(2ln(2))/(ln(0.75))

Solve for t: 50=200(0.75)^t

The solution is t=-(2ln(2))/(ln(0.75))

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50 = 200 (0.75)^{t}

t = - \frac{2 ln ( 2 )}{ln ( 0.75 )}

Decimal Notation

t = 4.81884 \dots

Solution steps

50 = 200 (0.75)^{t}

Switch sides

200 \cdot 0.7 5^{t} = 50

Divide both sides by

200

0.7 5^{t} = \frac{1}{4}

Apply exponent rules

t ln (0.75) = ln (\frac{1}{4})

Solve

t ln (0.75) = ln (\frac{1}{4}) : t = - \frac{2 ln ( 2 )}{ln ( 0.75 )}

t = - \frac{2 ln ( 2 )}{ln ( 0.75 )}

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

8^{x - 5} = \frac{1}{16} 2

e^{13 x + 1} = k

1 8^{0} = \frac{1 8 ^{w}}{1 8 ^{7}}

\frac{2 5 ^{x}}{25} = 12 5^{x - 3}

What is the answer to 50=200(0.75)^t ?
The answer to 50=200(0.75)^t is t=-(2ln(2))/(ln(0.75))
Solve for t: 50=200(0.75)^t
The solution is t=-(2ln(2))/(ln(0.75))