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2 years ago

For what power of q is its value 1?

Mathematics

1 answer:

DedPeter [7]2 years ago

4 0

Answer:

0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

q^x = 1

This is solved using logarithms.

x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

x = 0

log(q) = 0 ⇒ q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to any power.

_____

Additional comment

The applicable rule of logarithms is ...

log(a^b) = b·log(a)

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So.... notice the picture below

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now, we also know the perimeter is 18cm

so, k + k + b = 18
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so... one can say that $\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
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\\\\
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--------------\\
k=\frac{18-b}{2}\qquad thus\\
--------------\\
h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
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and you can simplify it if you wish.. not sure you have to

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3 years ago

For what power of q is its value 1?​

For what power of q is its value 1?