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lilavasa [31]
3 years ago
7

Use complete sentences to explain the process of converting a logarithmic equation to its equivalent exponential form to obtain

solutions to the graph of the logarithmic equation.
Mathematics
2 answers:
aalyn [17]3 years ago
7 0

Answer:

To convert a logarithmic equation to its equivalent exponential form : We must first state the definition of log :

For x > 0 and b > 0 , b ≠ 1 ,

y=\log _b x\text{ is equivalent to }b^y=x

Now, follow these steps to convert logarithmic to exponential function :

  1. To change from logarithmic form to exponential form, first identify the base of the logarithmic equation.
  2. Now, After moving the base the current variable or number changes to the exponent.
  3. Do not move anything but only the bases so that the other number or variables will not change sides .
  4. Hence, The log function will be removed.
DanielleElmas [232]3 years ago
5 0
Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:

 log _{b}x = y,

 then invert to show it equivalent form:

 x= b^{y}.

With that you have solved the equation for x.
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Solve for P:<br><br> 9(p−4)=−18<br><br> Please Explain
vekshin1

Answer:

<em>p</em> = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.

9(<em>p</em> - 4) = -18

9*<em>p</em> - 9*4 = -18

9<em>p</em> - 36 = -18

Add 36 on both sides to isolate the variable (in this case, <em>p)</em>

9<em>p</em> = -18 + 36

You can also write it like this; 9<em>p</em> = 36 - 18

9<em>p</em> = 18

Divide 9 to isolate <em>p</em>

<em>p</em> = 2

So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

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3 years ago
Increase 840 in the ratio 2 : 3​
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Ratios be 2x and 3x

\\ \rm\longmapsto 2x+3x=840

\\ \rm\longmapsto 5x=840

\\ \rm\longmapsto x=\dfrac{840}{5}

\\ \rm\longmapsto x=168

Now

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