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3 votes
Solve exponential equations


5x − 2=625

User Arveen
by
5.4k points

1 Answer

3 votes

Answer:

x = 6

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}

User Joabe Da Luz
by
5.9k points