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spayn [35]
3 years ago
12

A.) If log(2x + 3) -log(x - 1) = 3, then the equation in exponential form is 10^3= (2x + 3)(x - 1).

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Step-by-step explanation:

One of the logarithm rules states the following:

log{a} - log{b} = log{\frac{a}{b}}

For this problem, that means the following:

log{2x + 3} - log{x - 1} = log{\frac{2x + 3}{x - 1}}

So now we have the following:

log{\frac{2x + 3}{x - 1}} = 3

Rolling the log, we get the following:

10^{3} = \frac{2x + 3}{x - 1}

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