Assume that x, y, and b are positive numbers and

philosphy111of

philosphy111of

Answered question

2021-11-28

Assume that x, y, and b are positive numbers and b not equals to 1. Use the properties of logarithms to write the expression in terms of the logarithms of x and z. logb4xz

Answer & Explanation

tnie54

tnie54

Beginner2021-11-29Added 18 answers

Calculation:
To write the expression in terms of the logarithms of x and z.
The logarithmic expression is logb(4xz)
Applying log rule: logc(ab)=logc(a)+logc(b)
logb(4xz)=logb(4)+logb(x)+logb(z)
=logb(22)+logb(x)+logb(z)
=2logb(2)+logb(x)+logb(z), (using log rule: loga(xb)=bloga(x))
logb(4xz)=2logb(2)+logb(x)+logb(z)

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