How do I work this out step by step?
2 answers:
to solve this:
1 / 2x + 2 / 3x = 28
Step 1: Simplify both sides:
1 / 2x + 2 / 3x = 28
( 1 / 2x + 2 / 3x ) = 28
Combine like terms:
7 / 6x = 28
7 / 6x = 28
Step 2: Multiply both sides by 6 / 7:
( 6 / 7 ) * ( 7 / 6x ) = ( 6 / 7 ) * ( 28 )
x = 24
Hence the answer is: 1 / 2x + 2 / 3x = 28 =====> x = 24
Hope that helps!!!!! : )
Hope that helps!!!! : )
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We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:
So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read: