(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

5^{2x}- 3(5^{x}) = 10

2. Relevant equations

3. The attempt at a solution

log 5^{2x}- log 3(5^{x}) = log 10

2x log 5 - log 3 - x log 5 = log 10

x log 5 = log 10 + log 3

x = (log 10 + log 3)/log 5

putting this in my calculator I get 2.11

by inspection I can tell that the answer will be x = 1. So what am I doing wrong?

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# Homework Help: What am I doing wrong in this exponential equation?

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