# Exponential equation

In the set R solve the equation:

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

Result

x =  0.21

#### Solution:

$x = \dfrac{ 3 \cdot \ln (4)-(-5) \cdot \ln(7) }{ 19\cdot \ln (7) - (-20) \cdot \ln (4)} \doteq 0.21$

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