Question 3 Show work and solve 3 = 5*+1 using change of base formula.

asked Mar 24, 2023 139k views

3 votes

Question 3
Show work and solve 3 = 5*+1 using change of base formula.

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1 vote

Answer:
$x=(\log (3/5))/(\log 5)$

Explanation:

$3=5^(x+1)\\\\\log_(5) 3=x+1\\\\x=\log_(5) 3-1\\\\x=\log_(5) 3-\log_(5) 5\\\\x=\log_(5) \left((3)/(5) \right)\\\\x=(\log (3/5))/(\log 5)$

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