The discussion revolves around solving the equation log2x + log4x = 5, focusing on logarithmic equations with different bases. Participants express uncertainty regarding the approach to take, particularly when dealing with varying bases in logarithmic functions.
Participants are actively engaging with the problem, exploring different interpretations and approaches. Some guidance has been offered regarding changing the base of logarithms, but there is no explicit consensus on the best method to proceed.
There appears to be confusion regarding the notation used in the logarithmic equation, which may affect the interpretation and subsequent approach to solving it. Additionally, some participants are seeking clarification on how to properly present their questions in the forum.
What do you mean by "log2x+ log4x= 5"? I would interpret that as log(2x)+ log(4x)= 5 so log(6x)= 5 which is easy. If you mean "log_2(x)+ log_4(x)= 5" then use Dick's hint.emma3001 said:Solve the equation log2x + log4x= 5. To start, should I change this to an exponential... I am stuck because I have only done log questions that have the same base.
Dick said:Convert them to the same base log_a(x)=log_b(x)/log_b(a).