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Monica [59]
3 years ago
13

Solve for x 2ln(5x)=−4

Mathematics
1 answer:
iragen [17]3 years ago
4 0
Ln<span>(5x)</span>=4<span><span>ln</span>⁡<span>(5x)</span>=4</span> To solve for <span>xx</span> , rewrite the equation using properties of logarithms.<span><span><span>e<span>ln<span>(<span>5x</span>)</span></span></span>=<span>e4</span></span><span><span>e<span>l</span></span></span></span> Solve for <span>x</span> Tap for more steps...Exponentiation and log are inverse functions.<span><span><span>5x</span>=<span>e4
</span></span></span>Divide each term by <span>5</span> and simplify.Tap for more steps...Divide each term in <span><span><span>5x</span>=<span>e4</span></span><span><span>5x</span>=<span>e4</span></span></span> by <span>5</span> .Reduce the expression by cancelling the common factors.
Cancel the common factor.<span><span><span><span>5x</span>5</span>=<span><span>e4</span>5
</span></span></span>Divide <span>x</span> by <span>1</span> to get <span>x</span> .<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span> Verify each of the solutions by substituting them back into the original equation <span><span><span>ln<span>(<span>5x</span>)</span></span>=4 </span></span> and solving. In this case, all solutions were found to be valid.<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span> The result can be shown in both exact and decimal forms.Exact Form:<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span> Decimal Form:<span>x=<span>10.91963000<span>…</span></span></span>
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Suppose an investment of $2,300 doubles in value every decade. The function F(X)= 2300 * 2^X gives the value of the investment a
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You hit the right target!

\[\Huge\color{}\checkmark\]

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The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 33
tigry1 [53]
<h3>Answer:</h3>
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<h3>Step-by-step explanation:</h3>

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

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