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What is the solution of log(t-3) = log(17-4t)?​

User Bigtlb
by
5.1k points

2 Answers

5 votes

Answer:

t=4

Explanation:

User Nashape
by
5.7k points
5 votes

Answer:

Solution: 4

Explanation:

We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:

t - 3 = 17 - 4t

Solving this equation, we will receive our solution. Let's do it:

t - 3 = 17 - 4t,

t = 20 - 4t,

5t = 20,

t = 20/5 = 4 ✓

The previous solution is correct.

User Rohr Facu
by
5.5k points