If #log_3{5 + 4log_3 (x-1)} = 2#, then x is equal to?

A) 2
B) 4
C) 8
D) #log_2 16#

[Hint: All the options are correct and valid]

1 Answer
Jim G.
Mar 4, 2018

#x=4to(B)#

Explanation:

#"using the "color(blue)"law of logs"#

#•color(white)(x)log_b x=nhArrx=b^n#

#"working in from the outside gives"#

#5+4log_3(x-1)=3^2=9#

#"subtract 5 from both sides"#

#rArr4log_3(x-1)=4#

#"divide both sides by 4"#

#rArrlog_3(x-1)=1#

#rArrx-1=3^1=3#

#rArrx=3+1=4to(B)#

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