Question

Solve exponential equations


5x − 2=625

Answer 1

Answer:

x = 6

Step-by-step explanation:

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