What is the answer to 1000000=27000*1312^x ?

The answer to 1000000=27000*1312^x is x=(ln(1000/27))/(ln(1312))

Solve for x: 1000000=27000*1312^x

The solution is x=(ln(1000/27))/(ln(1312))

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1000000 = 27000 \cdot 131 2^{x}

x = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

Decimal Notation

x = 0.50310 \dots

Solution steps

1000000 = 27000 \cdot 131 2^{x}

Switch sides

27000 \cdot 131 2^{x} = 1000000

Divide both sides by

27000

131 2^{x} = \frac{1000}{27}

Apply exponent rules

x ln (1312) = ln (\frac{1000}{27})

Solve

x ln (1312) = ln (\frac{1000}{27}) : x = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

x = \frac{ln ( \frac{1000}{27} )}{ln ( 1312 )}

1 0^{4 x - 8} = 6^{10 x + 3}

3^{x + 2} = 18

1.1 2^{x} = 2

8000 = 500 e^{l n (\frac{12}{5}) t}

4^{3 x - 5} = \frac{1}{256}

What is the answer to 1000000=27000*1312^x ?
The answer to 1000000=27000*1312^x is x=(ln(1000/27))/(ln(1312))
Solve for x: 1000000=27000*1312^x
The solution is x=(ln(1000/27))/(ln(1312))