What is the answer to 200=100(3)^{0.6t} ?

The answer to 200=100(3)^{0.6t} is t=(ln(2))/(0.6ln(3))

Solve for t: 200=100(3)^{0.6t}

The solution is t=(ln(2))/(0.6ln(3))

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200 = 100 (3)^{0.6 t}

t = \frac{ln ( 2 )}{0.6 ln ( 3 )}

Decimal Notation

t = 1.05154 \dots

Solution steps

200 = 100 (3)^{0.6 t}

Switch sides

100 \cdot 3^{0.6 t} = 200

Divide both sides by

100

3^{0.6 t} = 2

Apply exponent rules

0.6 t ln (3) = ln (2)

Solve

0.6 t ln (3) = ln (2) : t = \frac{ln ( 2 )}{0.6 ln ( 3 )}

t = \frac{ln ( 2 )}{0.6 ln ( 3 )}

2^{y} = \frac{1}{16}

1 6^{2 x - 3} = 4^{x + 2}

3^{- x + 4} = 81

8^{1 - 5 x} = 9

2^{5 x - 3} = 10

What is the answer to 200=100(3)^{0.6t} ?
The answer to 200=100(3)^{0.6t} is t=(ln(2))/(0.6ln(3))
Solve for t: 200=100(3)^{0.6t}
The solution is t=(ln(2))/(0.6ln(3))