What is the answer to 200000=700(2)^{t/(30)} ?

The answer to 200000=700(2)^{t/(30)} is t=(30ln(2000/7))/(ln(2))

Solve for t: 200000=700(2)^{t/(30)}

The solution is t=(30ln(2000/7))/(ln(2))

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200000 = 700 (2)^{\frac{t}{30}}

t = \frac{30 ln ( \frac{2000}{7} )}{ln ( 2 )}

Decimal Notation

t = 244.75288 \dots

Solution steps

200000 = 700 (2)^{\frac{t}{30}}

Switch sides

700 \cdot 2^{\frac{t}{30}} = 200000

Divide both sides by

700

2^{\frac{t}{30}} = \frac{2000}{7}

Apply exponent rules

\frac{t}{30} ln (2) = ln (\frac{2000}{7})

Solve

\frac{t}{30} ln (2) = ln (\frac{2000}{7}) : t = \frac{30 ln ( \frac{2000}{7} )}{ln ( 2 )}

t = \frac{30 ln ( \frac{2000}{7} )}{ln ( 2 )}

102 4^{x + 1} = 1 6^{3 x + 4}

2 e^{3 x} = 30

8^{x} = 2^{x + 2}

x, 3^{x} + 8 \cdot 3^{- x} = 9

6^{2 n - 6} = 1

What is the answer to 200000=700(2)^{t/(30)} ?
The answer to 200000=700(2)^{t/(30)} is t=(30ln(2000/7))/(ln(2))
Solve for t: 200000=700(2)^{t/(30)}
The solution is t=(30ln(2000/7))/(ln(2))