I am trying to find the min value of x, which make that inequality true $a b^x$ > $ c d^x$.
And is there any cheat sheet that contains all the formulas to solve those type of inequality and equations?
2026-03-25 17:53:08.1774461188
What is the value of $x$ when $a b^x$ > $ c d^x$
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You can rearrange the equation (assuming $a,b,c,d>0$) into
$$\left(\frac bd\right)^x > \frac ca$$ which is easier to solve (hint: the exponential function is always monotone!)