What is the answer to 12*10^{x/2}=1 ?

The answer to 12*10^{x/2}=1 is x=-(2ln(12))/(ln(10))

Solve for x: 12*10^{x/2}=1

The solution is x=-(2ln(12))/(ln(10))

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12 \cdot 1 0^{\frac{x}{2}} = 1

x = - \frac{2 ln ( 12 )}{ln ( 10 )}

Decimal Notation

x = - 2.15836 \dots

Solution steps

12 \cdot 1 0^{\frac{x}{2}} = 1

Divide both sides by

12

1 0^{\frac{x}{2}} = \frac{1}{12}

Apply exponent rules

\frac{x}{2} ln (10) = ln (\frac{1}{12})

Solve

\frac{x}{2} ln (10) = ln (\frac{1}{12}) : x = - \frac{2 ln ( 12 )}{ln ( 10 )}

x = - \frac{2 ln ( 12 )}{ln ( 10 )}

3^{x + 2} = \frac{1}{9}

e^{3 x - 1} = 8^{- 6 x - 1}

x, 2^{x} + 2^{- x} = 5

5^{2 x + 1} - 5^{x + 2} = 2500

(2^{x} - 8) (2^{x} - 1) = 0

What is the answer to 12*10^{x/2}=1 ?
The answer to 12*10^{x/2}=1 is x=-(2ln(12))/(ln(10))
Solve for x: 12*10^{x/2}=1
The solution is x=-(2ln(12))/(ln(10))