SOLUTION: Can someone please solve, using steps e^blna = a^b it looks like an alien language

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Question 133350: Can someone please solve, using steps

e^blna = a^b
it looks like an alien language
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%28b%2Aln%28a%29%29=a%5Eb Start with the given equation


e%5E%28ln%28a%5Eb%29%29=a%5Eb Rewrite the exponent using the identity y%2Aln%28x%29=ln%28x%5Ey%29


a%5Eb=a%5Eb Evaluate and simplify the left side. Remember, e%5Eln%28x%29=x


So we can see that a=a and b=b. In other words, any number will work for either a or b as long as a%3E0