AQA Core 3 1.03 Solving equations with e^x and ln(x)

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my boi jack spittin dat fire c3 knowledge onto the world

fraserlindsay
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Can someone clarify a question for me, so far i have 2x=ln9 so i thought x would be equal to ln9/2. However the mark scheme says x=ln3, why?

Dan-ghsd
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Awesome how to solve questions like ln(2×10^3) any video for this

himanshupawar
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Thanks for this, how would I go about this question though:
e^(2x)=e^(x)+12

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