What is the answer to 8*10^{3x}=1 ?

The answer to 8*10^{3x}=1 is x=-(ln(2))/(ln(10))

Solve for x: 8*10^{3x}=1

The solution is x=-(ln(2))/(ln(10))

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8 \cdot 1 0^{3 x} = 1

x = - \frac{ln ( 2 )}{ln ( 10 )}

Decimal Notation

x = - 0.30102 \dots

Solution steps

8 \cdot 1 0^{3 x} = 1

Divide both sides by

8

1 0^{3 x} = \frac{1}{8}

Apply exponent rules

3 x ln (10) = ln (\frac{1}{8})

Solve

3 x ln (10) = ln (\frac{1}{8}) : x = - \frac{ln ( 2 )}{ln ( 10 )}

x = - \frac{ln ( 2 )}{ln ( 10 )}

3^{2 x} = 4

3 e^{4 x} + 9 = 15

5^{n} = 5^{11} \cdot 5^{3}

2^{2 x + 1} - 2^{x} - 6 = 0

2^{x - 1} = 5

What is the answer to 8*10^{3x}=1 ?
The answer to 8*10^{3x}=1 is x=-(ln(2))/(ln(10))
Solve for x: 8*10^{3x}=1
The solution is x=-(ln(2))/(ln(10))