which of the following could be the first step in solving the equation below 4^x=17
A. 1/4*4^x=1/4*17
B. log 4^x=log 17
C. log 4^x=17
D. 4√4^x=4√17

Respuesta :

Answer:

Choice B.  log 4^x = log 17

Step-by-step explanation:

Solve 4^x=17

x is in the exponent...  so the only operation to bring the x down is the Logarithm

  log  4^x   =  log 17    take log of both sides

then   x* log 4 = log 17

and then  x =  (log 17)/(log 4)

Log (4)ˣ = log17 will be the first step in solving the equation (4)ˣ = 17.

Why do we need to take a logarithm?

In order to remove the superscript, we need to take the log on both sides of the equation.

For example, if we have then log2² will be the 2log2 by log property.

Given that equation is (4)ˣ = 17 so to solve this equation for x we need to take the log on both sides.

⇒ (4)ˣ = 17

Log (4)ˣ = log17 (1st step)

⇒ x log(4)= log17

Hence, log (4)ˣ = log17 will be the first step of the solution.

For more information about the logarithm

https://brainly.com/question/24211708

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