What is the answer to 45000000=25700000*1.7^t ?

The answer to 45000000=25700000*1.7^t is t=(ln(450/257))/(ln(1.7))

Solve for t: 45000000=25700000*1.7^t

The solution is t=(ln(450/257))/(ln(1.7))

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45000000 = 25700000 \cdot 1. 7^{t}

t = \frac{ln ( \frac{450}{257} )}{ln ( 1.7 )}

Decimal Notation

t = 1.05567 \dots

Solution steps

45000000 = 25700000 \cdot 1. 7^{t}

Switch sides

25700000 \cdot 1. 7^{t} = 45000000

Divide both sides by

25700000

1. 7^{t} = \frac{450}{257}

Apply exponent rules

t ln (1.7) = ln (\frac{450}{257})

Solve

t ln (1.7) = ln (\frac{450}{257}) : t = \frac{ln ( \frac{450}{257} )}{ln ( 1.7 )}

t = \frac{ln ( \frac{450}{257} )}{ln ( 1.7 )}

1 6^{- n} = (\frac{1}{4})^{3 n + 1}

\frac{1}{5 ^{- 3 x}} = 2 5^{x - 1}

7^{g} = 14

(\frac{5}{7})^{x} = 1

6^{x + 3} = 17

What is the answer to 45000000=25700000*1.7^t ?
The answer to 45000000=25700000*1.7^t is t=(ln(450/257))/(ln(1.7))
Solve for t: 45000000=25700000*1.7^t
The solution is t=(ln(450/257))/(ln(1.7))