Solve for a
a=\log(2)\approx 0.301029996
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10^{a}=2
Use the rules of exponents and logarithms to solve the equation.
\log(10^{a})=\log(2)
Take the logarithm of both sides of the equation.
a\log(10)=\log(2)
The logarithm of a number raised to a power is the power times the logarithm of the number.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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