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pogonyaev
3 years ago
13

What is the solution of log2 (3x - 7) = 3?

Biology
2 answers:
Vlad [161]3 years ago
8 0
To solve this question, all you have to do is take 2 raise it to 3, and make it equal to the expression 3x-7 and solve for x.
2^3=3x-7
8=3x-7
8+7=3x
15=3x
15/3=3x/3
5=x.
X=5.
You can verify if the answer is correct by plugging the value of 5 back into the original logarithmic equation.
Andrei [34K]3 years ago
8 0

Answer:

x = 5 is the solution of \log _2 (3x-7) = 3

Explanation:

Given that: \log _2 (3x-7) = 3

Using logarithmic properties:

if \log_a x = b

then;

x = b^a

Apply this rule on the given equation:

(3x-7) = 2^3

⇒3x-7= 8

Add 7 to both sides we get;

3x= 15

Divide both sides  by 3 we get;

x = 5

therefore,  the solution of \log _2 (3x-7) = 3 is 5

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