Question

if logx²(base3) =1/log3(base4) find x

Answer 1

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the technique used here is change of bases

Answer 2

logx^x2(base3)=1/log^3(base4)

applied base change formula

log^x2(base3)=log^4(base3)

log^x2(base3) - log^4(base3)=0

now applied difference rule

log^x2/4(base3)=0

x^2/4 = 3^0

x^2=4

Hance x=-2 and x=2