Question 1057131
3^(log(9,4))=2


{{{3^(log(9,4))=2}}} ?


Look into that {{{log(9,4)}}}.  Change of Base formula might be helpful....



{{{log(10,4)/log(10,9)=log(9,4)}}}


Look in table of logs or use calculator:
{{{log(9,4)=(0.60206)/(0.9542425)=0.63093}}}


{{{3^0.63093}}}, and you might use logs table again...

Result is something extremely close to 2.