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# Hello, I have the following question 5^x-3=2^x I solved it many times and I keep getting two different soluions x=5.2694164 and x=5.

Hello, I have the following question 5^x-3=2^x

I solved it many times and I keep getting two different soluions x=5.2694164 and x=5.25

I don't understand why I keep getting two results, can you try and see what you get? I can share how i got to both solutions if you need me to, thanks!

The equation has only... View the full answer

• Hello tutor, thanks for replying to comment but the question was 5 elevated to x-3 equals 2 elevated to x. In other words 5^x-3=2^x
• hilde84
• Aug 09, 2018 at 8:01pm
• ohh, your question was not clear
• Rahul.royaltyger
• Aug 09, 2018 at 8:03pm
• But i can give you explanation
• Rahul.royaltyger
• Aug 09, 2018 at 8:04pm
• (x-3)log5 = xlog2, or x(log5-log2) = 3log5, or x*log(5/2) = log125, or x = log(125)/log(2.5), x = 5.2694
• Rahul.royaltyger
• Aug 09, 2018 at 8:08pm
• Sorry, I just realize that i had not typed it correct at first. Yay! so I did get it right! Thanks so much tutor :) I appreciate you following up with me. Have a great day
• hilde84
• Aug 10, 2018 at 8:44am
• Welcome
• Rahul.royaltyger
• Aug 10, 2018 at 8:57am

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