2 years ago

Choose a system and make a case for why you would

1 answer:

3 0

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

Step-by-step explanation:

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Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Sophie [7]

$\text{A logarithmic lemma: } \\ \text{It follows that: } \log_a a = 1$
$\text{Following this property, we can see that: } a^{\log_{a} a} = a$
$\text{Furthermore, we can create more general properties: } a^{\log_a b} = b$

$c = \log_e 2 \Rightarrow e^{c} = e^{\log_e 2} \\ \text{Using our third property, we see that: } e^{c} = 2$
$\text{And finally, this works for any } \log_{a} b \left\{a > 0, b \in \mathbb{R}\right\}$