Question

if 125^x =25/5x, find the value of x​

Answer 1

$\bf\blue{\underline{\boxed{Question}}}$

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$\small\tt{IF\:125^{x}}\:=\:{\frac{25}{5^{x}}}$

$\small\tt{Find\:the\:value\:of\:x}$

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$\bf\blue{\underline{\boxed{Solution}}}$

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$\small\tt{125^{x}}\:=\:{\frac{25}{5^{x}}}$

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$\small\tt{125^{x}}\:=\:{\frac{5^{2}}{5^{x}}}$

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$\small\tt{5^{(3)x}}\:=\:{5^{(2-x)}}$

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$\small\tt{5^{3x}}\:=\:{5^{2-x}}$

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$\small\tt{Note\:\rightarrow\:If\:there\:is\:base\:same\:then\:it}\\{\small\tt{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:will\:get\:cut}}$

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$\small\tt{\cancel5^{(3)x}}\:=\:{\cancel5^{2-x}}$

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$\small\tt{3x\:=\:2-x}$

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$\small\tt{3x\:+\:x\:=\:2}$

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$\small\tt{4x\:=\:2}$

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$\small\tt{x}\:=\:{\cancel\frac{2}{4}}$

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$\small\tt\red{\underline{\boxed{x\:=\:{\frac{1}{2}}}}}$

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$\bf\blue{\underline{\boxed{Hope\:It\: Help\:</p><p>You}}}$

Answer 2

Answer:

x=1/2 is the answer

Step-by-step explanation:

pls make it brainlest answer