SOLUTION: 1- Solve the equation log3 (4x - 9) = 3 - log3 (8x-3)
2) Solve the equation e^(2x+1) - 8e^(x+1) = 9e
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Question 688137: 1- Solve the equation log3 (4x - 9) = 3 - log3 (8x-3)
2) Solve the equation e^(2x+1) - 8e^(x+1) = 9e
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1- Solve the equation log3 (4x - 9) = 3 - log3 (8x-3)
----
log3(4x-9) + log3(8x-3) = 3
----
log[(4x-9)(8x-3)] = 3
-----
log[32x^2 -12x -72x + 27] = 3
----
32x^2 -84x + 27 = 10^3
----
32x^2 - 84x - 973 = 0
-----
Positive solution:
x = 6.9807..
=======================
2) Solve the equation e^(2x+1) - 8e^(x+1) = 9e
You could graph the left side and the right side
and see where they intersect.
I'll leave that to you.
------------------
Cheers,
Stan H.
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