Question

32. Solve for x: (25)^x-2=(125)^2-x
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Answer 1

Answer:

$\: x = 2$

Step-by-step explanation:

${(25)}^{x - 2} = {(125)}^{2 - x}$

${ ({(5)}^{2} )}^{x - 2} = { {((5)}^{3}) }^{2 - x}$

${(5) \: }^{2x - 4} = {(5) \: }^{6 - 3x}$

since bases are same , can be eliminated

$2x - 4 = 6 - 3x$

$3x + 2x = 6 + 4$

$5x = 10$

$\: x = 2$