Question

Solve for x: log 4 to the base x=2

Answer 1

Answer:

Some of the basic results used here:

logab=logcblogca

logax=y⟹x=ay

logab=bloga

Now focusing on the problem,

log2x+log4x=2

∴logxlog2+logxlog4=2

∴logxlog2+logx2log2=2

∴logxlog2(1+12)=2

∴32×logxlog2=2

∴log2x=43

∴x=243

∴x=2.52

Hope it helps!