What is the answer to 8(10^{3x})=12 ?

The answer to 8(10^{3x})=12 is x=(ln(3/2))/(3ln(10))

Solve for x: 8(10^{3x})=12

The solution is x=(ln(3/2))/(3ln(10))

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8 (1 0^{3 x}) = 12

x = \frac{ln ( \frac{3}{2} )}{3 ln ( 10 )}

Decimal Notation

x = 0.05869 \dots

Solution steps

8 (1 0^{3 x}) = 12

Divide both sides by

8

1 0^{3 x} = \frac{3}{2}

Apply exponent rules

3 x ln (10) = ln (\frac{3}{2})

Solve

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

x = \frac{ln ( \frac{3}{2} )}{3 ln ( 10 )}

2 = (1 + \frac{11}{200})^{n}

x^{2} 2^{x} - 2^{x} 18 = 0

7^{3 x^{2}} = 4 9^{- 6 x + 2}

2 e^{- 3 x} x - 3 e^{- 3 x} x^{2} = 0

4^{x + 5} = 1 6^{5 x - 1}

What is the answer to 8(10^{3x})=12 ?
The answer to 8(10^{3x})=12 is x=(ln(3/2))/(3ln(10))
Solve for x: 8(10^{3x})=12
The solution is x=(ln(3/2))/(3ln(10))