What is the answer to 440*1.007^t=3383 ?

The answer to 440*1.007^t=3383 is t=(ln(3383/440))/(ln(1.007))

Solve for t: 440*1.007^t=3383

The solution is t=(ln(3383/440))/(ln(1.007))

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440 \cdot 1.00 7^{t} = 3383

t = \frac{ln ( \frac{3383}{440} )}{ln ( 1.007 )}

Decimal Notation

t = 292.41060 \dots

Solution steps

440 \cdot 1.00 7^{t} = 3383

Divide both sides by

440

1.00 7^{t} = \frac{3383}{440}

Apply exponent rules

t ln (1.007) = ln (\frac{3383}{440})

Solve

t ln (1.007) = ln (\frac{3383}{440}) : t = \frac{ln ( \frac{3383}{440} )}{ln ( 1.007 )}

t = \frac{ln ( \frac{3383}{440} )}{ln ( 1.007 )}

8^{x - 2} = 8

3^{x} + 9^{x} = 6

6^{1 - 5 x} = 7

2^{x} - 2^{x} \cdot 2^{- 1} = 2^{5}

6^{3 x - 7} = \frac{1}{6}

What is the answer to 440*1.007^t=3383 ?
The answer to 440*1.007^t=3383 is t=(ln(3383/440))/(ln(1.007))
Solve for t: 440*1.007^t=3383
The solution is t=(ln(3383/440))/(ln(1.007))