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QUESTION 19Solve this exponential equation to the nearest hundredth 2e4x _ 8 x=0.15X=0.35x=0.52None of the above...

Question

QUESTION 19Solve this exponential equation to the nearest hundredth 2e4x _ 8 x=0.15X=0.35x=0.52None of the above

QUESTION 19 Solve this exponential equation to the nearest hundredth 2e4x _ 8 x=0.15 X=0.35 x=0.52 None of the above



Answers

Solve each exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. $$.8^{x}=4$$

In the given question, we have toe someday question zero point here to the power exit the quarter four. So we can say that X will be acquittal Log for West 0.8. So this X can for the wilderness log off four divided by log off 0.8. So using the calculator, we confined our the value off love of four divided by log off. You don't want it. So this will be quite all minors off 6.21 Go. So this is required to minus or 6.21 toe.

So you have this equation here and if we want to make it more simple well, we can do is make you equal to eat with two ex. So substituting you for eating to explore get is you square minus through you. Why is 18 is equal to zero now? The fact of this, we can't you minus six times you post three people to zero So you is equal to six. Where you was evil to negative three. Were you busy? Go to he to the two X So either the two x is equal to six were eaten. Two x is equal to negative three But we know that you did. The two of us can ever equal a negative number because he's a positive number and with me have a positive number to any exponents We'll never get a negative number. So we ignore this equation here in just solved for each of the two, X is equal to six. Now we take the natural log on both sides of the equation. Well, again is to x did you go to the natural log of six To access he go to the Helen six divided by two, which is approximately equal 20.90

Today we're solving for X in the equation nine equals e to the negative three x squared. First, let's start by taking the Ln of both sides. Ellen of nine is equal to the l N of e to the negative three x squared. Recall that the Ellen of E would cancel out leaving us with Ln of nine is equal to negative the re X squared Dividing each side by negative three would give us Ellen of nine. He divided by negative three equals X square. Finally, we would take the square root of both sides. Leaving those with X is equal to the plus or minus squared of Ln of nine. Not divided by negative three and that is our final answer.


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