Which line on the graph below has a slope of zero P Q R S

Mathematics

1 answer:

Shtirlitz [24]2 years ago

3 0

Q has a slope of zero

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Please help meeee ………..

Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

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