Question

FIND THE VALUE OF X
${2}^{x - 5 } = {4}^{x - 1}$
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Answer 1

Answer:

${2}^{x - 5} = \: {4}^{x - 1} \\ {2}^{x - 5 } = ({2}^{2} ) {}^{x - 5} \\ \\ {2}^{x - 5} = {2}^{2x - 10}$

now comparing boh sides

x- 5 = 2x - 10

-x = -5

x=5