We have been asked to find the solution of
[tex] {Log_{(2x-3)}}^{125}=3\\
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\text{we can re-write after Removing logarithm as below}\\
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(2x-3)^3=125\\
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(2x-3)^3=5^3\\
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\text{Now take cubed root on both the sides we get}\\
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2x-3=5\\
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\text{Add 3 on both the sides we get}\\
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2x=8\\
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\text{Divide both the sides by 2 we get}\\
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x=4
[/tex]
