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If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)?
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If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)?
Proof that f(x 3)-f(x-1) =15/2f(x) for f(x)=2^x
Step 1: Write out the equation
We are given the equation: f(x 3)-f(x-1) =15/2f(x)
Step 2: Substitute f(x) with 2^x
We substitute f(x) with 2^x to get:
2^(3x) - 2^(x-1) = 15/2 * 2^x
Step 3: Simplify the equation
We can simplify the equation using the laws of exponents:
2^(3x) = 2^(x+1) * 15/2
2^(3x) = 2^(x+1) * 15
Step 4: Simplify the exponents
We can simplify the exponents using the laws of exponents:
2^(2x) = 15
Step 5: Check the solution
We can check the solution by substituting 2^(2x) back into the original equation:
f(x 3)-f(x-1) = 2^(3x) - 2^(x-1)
= 2^(2x + x + 1) - 2^(x-1)
= 2^(2x) * 2^x * 2 - 2^(x) * 2^-1
= 2^(2x) * 2^x * (2 - 1/2)
= 2^(2x) * 2^x * 3/2
= 15/2 * 2^x
Therefore, the equation is true and we have proved that f(x 3)-f(x-1) =15/2f(x) for f(x)=2^x.
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If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)?
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If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)?.
If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x)=2^x, prove that f(x 3)-f(x-1) =15/2f(x)?.
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