What is the answer to 30000=50*3^t ?

The answer to 30000=50*3^t is t=(ln(600))/(ln(3))

Solve for t: 30000=50*3^t

The solution is t=(ln(600))/(ln(3))

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30000 = 50 \cdot 3^{t}

t = \frac{ln ( 600 )}{ln ( 3 )}

Decimal

t = 5.82273 \dots

Solution steps

30000 = 50 \cdot 3^{t}

Switch sides

50 \cdot 3^{t} = 30000

Divide both sides by

50

3^{t} = 600

Apply exponent rules

t ln (3) = ln (600)

Solve

t ln (3) = ln (600) : t = \frac{ln ( 600 )}{ln ( 3 )}

t = \frac{ln ( 600 )}{ln ( 3 )}

6^{\frac{1}{2} x} = 10

5^{x} = 32

2^{x + 2} + 2^{x} = 5

10 \cdot 1 0^{x} = 60

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

What is the answer to 30000=50*3^t ?
The answer to 30000=50*3^t is t=(ln(600))/(ln(3))
Solve for t: 30000=50*3^t
The solution is t=(ln(600))/(ln(3))