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3 votes
3 votes
What is the solution to this equation?

log + log 3 =
log(+1)
OA I=
OB.
I=
OC
I=
D. = 1
312
NIT
13

What is the solution to this equation? log + log 3 = log(+1) OA I= OB. I= OC I= D-example-1
User Luis Utrera
by
2.4k points

1 Answer

5 votes
5 votes

Answer:


\textsf{B.} \quad x=(1)/(2)

Explanation:

Log laws


\textsf{Product law}: \quad \log_ax + \log_ay=\log_axy


\textsf{Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y

Therefore:


\large \begin{aligned}\log_6 x+ \log_6 3 & =\log_6 (x+1)\\\log_6 (3x) & =\log_6 (x+1)\\3x & =x+1\\2x & =1\\x & =(1)/(2)\end{aligned}

User Aung Kaung Hein
by
2.8k points