What is the answer to 1600=800(1.0227)^t ?

The answer to 1600=800(1.0227)^t is t=(ln(2))/(ln(1.0227))

Solve for t: 1600=800(1.0227)^t

The solution is t=(ln(2))/(ln(1.0227))

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1600 = 800 (1.0227)^{t}

t = \frac{ln ( 2 )}{ln ( 1.0227 )}

Decimal Notation

t = 30.88039 \dots

Solution steps

1600 = 800 (1.0227)^{t}

Switch sides

800 \cdot 1.022 7^{t} = 1600

Divide both sides by

800

1.022 7^{t} = 2

Apply exponent rules

t ln (1.0227) = ln (2)

Solve

t ln (1.0227) = ln (2) : t = \frac{ln ( 2 )}{ln ( 1.0227 )}

t = \frac{ln ( 2 )}{ln ( 1.0227 )}

2 5^{x + 2} = 12 5^{x + 1}

x, 3^{2 x} + 3^{- 2 x} = 14

7^{2 - x} = 343

3^{3 x - 2} = \frac{1}{54}

45 e^{2 k} = 225

What is the answer to 1600=800(1.0227)^t ?
The answer to 1600=800(1.0227)^t is t=(ln(2))/(ln(1.0227))
Solve for t: 1600=800(1.0227)^t
The solution is t=(ln(2))/(ln(1.0227))