SOLUTION: given that log27(base a)+log4(base b)=5 and log27(base a)-log4(base b)=1 without using tables,find the values of a and b

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Question 413995: given that log27(base a)+log4(base b)=5 and log27(base a)-log4(base b)=1 without using tables,find the values of a and b
Answer by solver91311(24713) About Me  (Show Source):
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Let

Let

Then





Using elimination





Hence:





But the base of a logarithm function is restricted to the positive reals, hence



John

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