Question 756363

log[27](x-1)-log[27](x-3)=1/3   I need to solve this and I just can't figure it out, could you please help me?


Did you try? If so, where's your work?


{{{log (27, (x - 1)) - log (27, (x - 3)) = 1/3}}}


{{{log (27, ((x - 1)/(x - 3))) = 1/3}}}


{{{(x - 1)/(x - 3) = 27^(1/3)}}}


{{{(x - 1)/(x - 3) = 3}}}


3(x – 3) = x – 1 ----- Cross-multiplying


3x – 9 = x – 1


3x – x = - 1 + 9


2x = 8


{{{x = 8/2}}}, or {{{highlight_green(x = 4)}}}


You can do the check!!


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