54,297 views
35 votes
35 votes
Log base2(3x-4)=log base2 5

User Wiki
by
2.9k points

1 Answer

20 votes
20 votes

Answer:

x=3

Step-by-step explanation:

Given the expression:


\log _2(3x-4)=\log _25

Since we have log(base 2) on each side, it implies that:


3x-4=5

Next, solve the equation for x:


\begin{gathered} 3x=5+4 \\ 3x=9 \\ x=(9)/(3) \\ x=3 \end{gathered}

The solution to the equation, x=3.

User Smoke
by
2.4k points