Mathematics

What is the solution of log2x − 4 16 = 4?

x = −3

x = 3

x = −2

x = 2


Answers

Yaree

2 years ago Comment

using the property of logarithms log(a)b = x => a^x = b so we get 

(2x-4)^4 = 16 

(2x-4)^4 = 2^4    because the exponents are equal so this equation will be right than the bases will be equals too so than 

2x -4 = 2

2x = 6

x = 6/2 = 3 

x = 3 

hope this will help you 

ElizbethLiddle208

2 years ago Comment

There is a question that exist similar to this, the given is expressed as,
                             log(2x - 4) 16 = 4
To answer raise the base of the logarithm to power of 4 and the answer should be 16. This is shown below,
                             (2x - 4)^4 = 16
From the equation the value of x is equal to 1 and x = 3. Therefore, the answer is the third choice.