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Andre45 [30]
3 years ago
11

Which logarithmic equation is equivalent to the exponential equation below e^2x=7

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
\bf log_{{  a}}{{  b}}=y \iff {{  a}}^y={{  b}}\qquad\qquad 
%  exponential notation 2nd form
{{  a}}^y={{  b}}\iff log_{{  a}}{{  b}}=y \\\\
-----------------------------\\\\
e^{2x}=7\iff log_e(7)=2x\iff ln(7)=2x
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Step-by-step explanation:

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If the interest rate on a savings account is 0.02%, approximately how much money do you need to keep in this account for 1 year
astraxan [27]
At first glance, this problem might be overwhelming so try approaching it slowly by doing these steps:

Step 1: Start by understanding what the problem is really asking.
You might notice that the problem is just a percentage problem, with a twist! If you still don't see it, the problem is just asking what the base should be given a percentage and the amount.

Step 2: Recall the concepts relevant to the question.
We can identify a single formula that will be important in getting the answer:
base*percent=amount

Step 3: Apply the concept to the context of the problem.
You'll see that we already have the percent from the interest rate which is 0.02% and the amount from the below-minimum-balance fee which is $9.99.

There goes the little twist: you have to manipulate the equation to get the base. Dividing both sides of the equation by the percent we'll have:
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Step 4: Evaluate to get the answer to the problem.
We simply substitute the given numbers and evaluate.
base= \frac{percent}{amount}= \frac{9.99}{0.0002} =49,950

Answer: You need $49,950 in the account to cover the Below-Minimum-Balance Fee from your interest.
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