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The equation which shows the true solution to the given logarithmic equation is,
The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.
For example,
Given information-
The logarithmic equation given in the problem is,
Using the power rule of the logarithmic function,
Using the exponent rule of the logarithmic function the above equation can be written as,
Solve it further,
Hence, the equation which shows the true solution to the given logarithmic equation is,
Learn more about the rules of logarithmic function here;
An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.
<h3>How to write an expression for the total cost?</h3>In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:
- Let the cost for full-day be F.
- Let the cost for half-day be H.
- Let total cost be T.
Thus, the total cost of the daycare is given by:
T = 3F + 2H
Evaluating the expression, we have:
T = 3(28) + 2(15)
T = 84 + 30
T = $114.
Read more on expressions here: brainly.com/question/12189823
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