What is the answer to 12*1.17^t=56 ?

The answer to 12*1.17^t=56 is t=(ln(14/3))/(ln(1.17))

Solve for t: 12*1.17^t=56

The solution is t=(ln(14/3))/(ln(1.17))

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12 \cdot 1.1 7^{t} = 56

t = \frac{ln ( \frac{14}{3} )}{ln ( 1.17 )}

Decimal Notation

t = 9.81151 \dots

Solution steps

12 \cdot 1.1 7^{t} = 56

Divide both sides by

12

1.1 7^{t} = \frac{14}{3}

Apply exponent rules

t ln (1.17) = ln (\frac{14}{3})

Solve

t ln (1.17) = ln (\frac{14}{3}) : t = \frac{ln ( \frac{14}{3} )}{ln ( 1.17 )}

t = \frac{ln ( \frac{14}{3} )}{ln ( 1.17 )}

5 = 8^{x}

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

3^{(6 + 3 x)} = \frac{1}{27}

2 0^{x} = 4

What is the answer to 12*1.17^t=56 ?
The answer to 12*1.17^t=56 is t=(ln(14/3))/(ln(1.17))
Solve for t: 12*1.17^t=56
The solution is t=(ln(14/3))/(ln(1.17))