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Exponentials & Logarithmshard
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Suppose ax=by=cza^x = b^y = c^zax=by=cz for positive reals a,b,c>1a, b, c > 1a,b,c>1 and positive x,y,zx, y, zx,y,z. Express zzz in terms of xxx, yyy, and logarithms of aaa and bbb.