Exponential equation [5^(2x+3)=3125]

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An exponential equation is solved [5^(2x+3)=3125]

#algebra #exponentialequation
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No need to separate the exponents in the left. Re-write the right side to 5^5 as you did. Now the bases are the same (5), so their exponents must also be the same. Now simply say “2x+3=5”, and solve for x.

cyrangan
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Just realizing I did more work than was necessary on this problem. Should have started by converting 3125 to 5^5. From there, both sides have a common base of 5 the exponents can be set equal to each other. The equation 2x+3=5 is then solved for x=1. The method shown in this video, however, is valid and correct.

hebertengineering
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Wow.
How did u remember if bases are same, we can add/subtract the powers.... love this

marshallmom
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OK but, if you were just planning to turn 3125 into 5^5 then why bother expanding the exponent. It'd be fewer steps to say 5^(2x+3) = 5^5 therefore
2x+3=5
X=1

robertbennett
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Meanwhile Indian laughing after seeing this "I took just 5 sec to solve this lol " Btw this is 5th standard or 6th standard question here!

anujkandpal