Exponential equation

In the set R solve the equation:

7−5+19x=43−20x7^{ -5 +19x}=4^{ 3 -20x}



Result

x =  0.21

Solution:

x=3⋅ln⁡(4)−(−5)⋅ln⁡(7)19⋅ln⁡(7)−(−20)⋅ln⁡(4)≐0.21x = \dfrac{ 3 \cdot \ln (4)-(-5) \cdot \ln(7) }{ 19\cdot \ln (7) - (-20) \cdot \ln (4)} \doteq 0.21

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