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Yanka [14]
4 years ago
10

What is the solution of (log4x − 6) 16 = 4? x = −2 x = 2 x = 3 x = 4

Mathematics
2 answers:
Pepsi [2]4 years ago
8 0
The solution of log(4x-6)16=4 is x = 2.
Zarrin [17]4 years ago
3 0

Answer:

Option 2nd is correct

x =2

Step-by-step explanation:

Using logarithmic rules:

if \log_a b = x, then a^x = b

Given the equation:

\log_{4x-6} 16 = 4

Apply the rules we have;

16 = (4x-6)^4

We can write 16 as:

16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4

then;

2^4 = (4x-6)^4

On comparing both sides we have;

2 = 4x-6

Add 6 to both sides we have;

8 = 4x

Divide by 4 to both sides we have;

2 = x

or

x = 2

Therefore, the value of x is, 2

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