Solve for x_2
x_{2}=2
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14^{x_{2}}=196
Use the rules of exponents and logarithms to solve the equation.
\log(14^{x_{2}})=\log(196)
Take the logarithm of both sides of the equation.
x_{2}\log(14)=\log(196)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x_{2}=\frac{\log(196)}{\log(14)}
Divide both sides by \log(14).
x_{2}=\log_{14}\left(196\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
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