What is the answer to 1200=6*3^t ?

The answer to 1200=6*3^t is t=(ln(200))/(ln(3))

Solve for t: 1200=6*3^t

The solution is t=(ln(200))/(ln(3))

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1200 = 6 \cdot 3^{t}

t = \frac{ln ( 200 )}{ln ( 3 )}

Decimal Notation

t = 4.82273 \dots

Solution steps

1200 = 6 \cdot 3^{t}

Switch sides

6 \cdot 3^{t} = 1200

Divide both sides by

6

3^{t} = 200

Apply exponent rules

t ln (3) = ln (200)

Solve

t ln (3) = ln (200) : t = \frac{ln ( 200 )}{ln ( 3 )}

t = \frac{ln ( 200 )}{ln ( 3 )}

1 0^{\frac{x}{4}} = 8

\frac{k ^{x + 3}}{k ^{3 x}} = k^{x}

e^{9 - 4 x} = 6

2 7^{3 x} = 9^{x + 1}

\frac{1.0 9 ^{x}}{1.0 2 ^{x}} = 5.5

What is the answer to 1200=6*3^t ?
The answer to 1200=6*3^t is t=(ln(200))/(ln(3))
Solve for t: 1200=6*3^t
The solution is t=(ln(200))/(ln(3))