SOLUTION: Solve the exponential equation. Express your solutions in exact form only. Please show all of your work.
4^x-10*2^x-74=1
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Question 534468: Solve the exponential equation. Express your solutions in exact form only. Please show all of your work.
4^x-10*2^x-74=1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You really need to use parentheses so that your statements aren't ambiguous. I'm guessing you mean:
^{x\ -\ 10}\ \cdot\ 2^{x\ -\ 74}\ =\ 1)
Take the base 2 log of both sides
\ =\ \log_2(1))
Use the laws of logs:
\log_2\left(2\right)\ =\ \log_2(1))
John
My calculator said it, I believe it, that settles it
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