What is the answer to 5600000=(1.2)^t*800000 ?

The answer to 5600000=(1.2)^t*800000 is t=(ln(7))/(ln(1.2))

Solve for t: 5600000=(1.2)^t*800000

The solution is t=(ln(7))/(ln(1.2))

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5600000 = (1.2)^{t} \cdot 800000

t = \frac{ln ( 7 )}{ln ( 1.2 )}

Decimal Notation

t = 10.67295 \dots

Solution steps

5600000 = (1.2)^{t} \cdot 800000

Switch sides

1. 2^{t} \cdot 800000 = 5600000

Divide both sides by

800000

1. 2^{t} = 7

Apply exponent rules

t ln (1.2) = ln (7)

Solve

t ln (1.2) = ln (7) : t = \frac{ln ( 7 )}{ln ( 1.2 )}

t = \frac{ln ( 7 )}{ln ( 1.2 )}

3 = 3^{x}

3 (9^{x}) - 26 (3^{x}) - 9 = 0

x 6^{x - 8} = 7

3^{2 x - 3} = 27 \frac{x + 1}{3}

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

What is the answer to 5600000=(1.2)^t*800000 ?
The answer to 5600000=(1.2)^t*800000 is t=(ln(7))/(ln(1.2))
Solve for t: 5600000=(1.2)^t*800000
The solution is t=(ln(7))/(ln(1.2))