Exponential Equation $p \cdot a^x - q \cdot b^x \le c$

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I have a hard exponential equation to solve: Given $p,q,a,b,c$, I need to solve $x$ in the following equation:

$p \cdot a^x - q \cdot b^x \le c$.

Any suggestion is welcome. Thanks.

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Hint : $a^x = e^{x \cdot \ln{a}}$. Can you start with this ?