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ladessa [460]
3 years ago
8

Solve exponential equations 5x − 2=625

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

<h2>x = 6</h2>

Step-by-step explanation:

5^{x-2}=625\\\\5^{x-2}=5^4\qquad(5^4=5\cdot5\cdot5\cdot5=625)\\\\5^{x-2}=5^4\Rightarrow x-2=4\qquad\text{add 2 to both sides}\\\\x-2+2=4+2\\\\x=6\\\\\text{check:}\\\\5^{6-2}=5^4=625\qquad\bold{CORRECT}

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Answer:

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alukav5142 [94]

Given:

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