SOLUTION: 2^x+1=5^x please help me solve this I have a term exam tomorrow.

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Question 923792: 2^x+1=5^x
please help me solve this I have a term exam tomorrow.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If it's 2%5Ex+%2B+1+=+5%5Ex there's no algebraic solution.
Use a graphical or numerical method.
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If you mean 2%5E%28x+%2B+1%29+=+5%5Ex you should use parentheses. They are free.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2%5E%28x%2B1%29=5%5Ex
use natural log

%28x%2B1%29%2Aln%282%29+=+x%2Aln%285%29

the Distributive Property:
x%2Aln%282%29+%2B+ln%282%29+=+x%2Aln%285%29

x%2Aln%282%29+-x%2Aln%285%29=-ln%282%29

x%28ln%282%29+-ln%285%29%29=-+ln%282%29+

x+=+-%28ln%282%29%29%2F%28ln%282%29-ln%285%29%29

x+=+-%28ln%282%29%29%2F%28ln%282%29-ln%285%29%29

x=-0.693147%2F%280.693147-1.6094379%29

x=-0.69314+%2F-0.9162907

x=0.75647