SOLUTION: Can you please help me with this question. The problem is 5^x-2=4^x-1. The answer I came up with is log4 but that doesnt seem right can you help? Thanks

Question 108433: Can you please help me with this question.
The problem is 5^x-2=4^x-1. The answer I came up with is log4 but that doesnt seem right can you help? Thanks

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If it seems right, it should solve the equation.
Plug the value in the equation and check the result.

Not a true statement. Not a solution.
Let's look at the problem.

Let's use some variables now.
Let and let

Also, you know from your log rules that

If you put that all together you get,

Now back to A and B.

Substituting,

Let's define a constant, c,

Now substituting for the real values,

Check your answer.

Close enough from roundoff error.
x=8.213
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