What is the answer to 1000000=27000*1.312^x ?

The answer to 1000000=27000*1.312^x is x=(ln(1000/27))/(ln(1.312))

Solve for x: 1000000=27000*1.312^x

The solution is x=(ln(1000/27))/(ln(1.312))

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1000000 = 27000 \cdot 1.31 2^{x}

x = \frac{ln ( \frac{1000}{27} )}{ln ( 1.312 )}

Decimal Notation

x = 13.30098 \dots

Solution steps

1000000 = 27000 \cdot 1.31 2^{x}

Switch sides

27000 \cdot 1.31 2^{x} = 1000000

Divide both sides by

27000

1.31 2^{x} = \frac{1000}{27}

Apply exponent rules

x ln (1.312) = ln (\frac{1000}{27})

Solve

x ln (1.312) = ln (\frac{1000}{27}) : x = \frac{ln ( \frac{1000}{27} )}{ln ( 1.312 )}

x = \frac{ln ( \frac{1000}{27} )}{ln ( 1.312 )}

3 6^{x} = (\frac{1}{6})^{- x}

25 6^{4 x} = 6 4^{x + 1}

1 = e^{- t}

\frac{500}{600} = e^{- 0.00202 t}

2^{1 + 2 x} = 32

What is the answer to 1000000=27000*1.312^x ?
The answer to 1000000=27000*1.312^x is x=(ln(1000/27))/(ln(1.312))
Solve for x: 1000000=27000*1.312^x
The solution is x=(ln(1000/27))/(ln(1.312))