# Exponential equation

In the set R solve the equation:

${7}^{-5+19x}={4}^{3-20x}$

Correct result:

x =  0.21

#### Solution:

$x=\frac{3\cdot \mathrm{ln}\left(4\right)-\left(-5\right)\cdot \mathrm{ln}\left(7\right)}{19\cdot \mathrm{ln}\left(7\right)-\left(-20\right)\cdot \mathrm{ln}\left(4\right)}\doteq 0.21$

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