What is the answer to 600=300*6^t ?

The answer to 600=300*6^t is t=(ln(2))/(ln(6))

Solve for t: 600=300*6^t

The solution is t=(ln(2))/(ln(6))

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600 = 300 \cdot 6^{t}

t = \frac{ln ( 2 )}{ln ( 6 )}

Decimal Notation

t = 0.38685 \dots

Solution steps

600 = 300 \cdot 6^{t}

Switch sides

300 \cdot 6^{t} = 600

Divide both sides by

300

6^{t} = 2

Apply exponent rules

t ln (6) = ln (2)

Solve

t ln (6) = ln (2) : t = \frac{ln ( 2 )}{ln ( 6 )}

t = \frac{ln ( 2 )}{ln ( 6 )}

e^{(- x + 4)} = 0

x, - e^{- x + 4} + 1 = 0.9

8 1^{x - 1} = 3^{x^{2}}

e^{x} = 5 - 2 x

e^{2 x + 2} + 4 (e^{x + 2} - 1) = e^{x}

What is the answer to 600=300*6^t ?
The answer to 600=300*6^t is t=(ln(2))/(ln(6))
Solve for t: 600=300*6^t
The solution is t=(ln(2))/(ln(6))