Solving an exponential equation question 2

solve the exponential function:

4(2^x) + 31(2^x) - 8 = 0

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Originally Posted by math123456

solve the exponential function:

4(2^x) + 31(2^x) - 8 = 0

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It simplifies to . Solve this.

How do you solve for x:

2^x = 8/35

Quote:

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Originally Posted by math123456

solve for x:

2^x = 8/35

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Take logs:



and solve.

CB

how would you answer that in exact form

Quote:

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Originally Posted by CaptainBlack

Take logs:



and solve.

CB

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Quote:

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Originally Posted by math123456

how would you answer that in exact form

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Divide through by log(2) to isolate it. The exact form will have log terms in it: