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Alenkinab [10]
4 years ago
13

Hector buys a shirt and a tie. The shirt costs $34, which is $18 more than the cost of the tie. Olivia and Max each write an equ

ation to find the cost of the tie t. Is one equation, both equations, or neither equation correct? Explain how you know.
t + 18 = 34 - Olivia
34 - t = 18 - Max
Mathematics
1 answer:
Komok [63]4 years ago
4 0

Answer:

Both equations are correct

Step-by-step explanation:

Let

s-----> the cost of the shirt

t-----> the cost of the tie

we know that

s=34

t=s-18

substitute

t=34-18 -----> linear equation that represent the situation

rewrite 1

Adds 18 both sides

t=34-18 -------> t+18=34 ------> Olivia equation is correct

rewrite 2

Subtract t both sides

t+18=34 --------> 18=34-t ------> Max equation is correct

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Use natural logarithms to solve each equation.<br> e x+1=30
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We have been asked to solve e^{x+1} = 30 using natural logarithms

⇒   e^{x+1} = 30

⇒ x + 1 = ㏑ 30

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<h3>What is a natural logarithm?</h3>

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

Learn more about natural logarithm

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<h3>Correct Question</h3>

Use natural logarithms to solve each equation.

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