Solve Log3x: Steps & Graph Changes for y=log4x

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The discussion revolves around understanding the transformation of the graph of y = log4x when x is replaced by 16x^2, with participants emphasizing the use of logarithmic properties for clarification. The equation log3x + log3(x+2) = 1 is also under scrutiny, with suggestions to explain the solution process clearly over the phone. Participants seek to clarify whether they are discussing log(base 4) or log(4x), highlighting the importance of notation in mathematical communication. The conversation underscores the need for precise numerical representation and the application of logarithmic rules to facilitate understanding. Overall, the thread aims to resolve confusion regarding logarithmic transformations and equation-solving steps.
Buddah
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Confused

1.Describe the changes to the graph of y = log4x when x is replaced by 16x2
2.Describe the steps you would say over the phone to explain how to solve the equation log3x +log3(x+2)=1

thanks in advance
 
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Is that Log(4x) or Log(base 4) of x? Do you mean 32 by 16x2 or 32x?

Can you please clarify your numbers.
 


log(base 4) and its 16x^2
 


Well, how does log(base 4)(x) compare to log(base 4)(16*x^2)? Use the rules of logs. Like log(a*b)=log(a)+log(b).
 
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