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 2² 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
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