Question

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

Answer 1

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

Step-by-step explanation:

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