SOLUTION: I need help solving this problem: solve for x: 28^x=10^(-3x) I really need to understand this. Please show and explain all steps. Thanks in advance :D

Question 242841: I need help solving this problem: solve for x: 28^x=10^(-3x) I really need to understand this. Please show and explain all steps. Thanks in advance :D
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I need help solving this problem: solve for x: 28^x=10^(-3x) I really need to understand this. Please show and explain all steps.
--------------------------------
28^x=10^(-3x)
-------------
Take the log of both sides to get:
x*log(28) = -3x
---
3x + x*log(28) = 0
---
Factor:
x(3+log(28)) = 0
x = 0
===========
Cheers,
Stan H.
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