Logarithm Ques: LAUTECH Student Needs Help

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A student from Ladoke Akintola University of Technology seeks clarification on a logarithmic expression, specifically "log^18 - log^10 = 19." There is confusion regarding the notation "log^18," questioning whether it represents log(18) and whether it refers to common log (base 10) or natural log (base e). The discussion suggests that if the problem is to find base 'a' such that loga(18) - loga(10) = 19, it can be simplified to loga(9/5). Ultimately, the goal is to determine the base 'a' that satisfies the equation a^19 = 9/5.
joel ogundeji
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i am student of ladoke akitola university of technology ogbomosho oyo state Nigeria . help me on this question log^18-log^10=19
 
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I don't see a question here! What is the question?

Also what does "log^18" mean? I that just log(18)? And is that common log (base 10) or natural log (base e)? Or is the problem to find base a such that loga(18)- loga(10)= 19?

If that is the case, you can simplify by using the fact that loga(18)- loga(10)= loga(18/10)= loga(9/5) and then you are trying to find a such that a19= 9/5.
 
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