pls help...if 9^x=27^y and 8^y=16^z, then what is the value of x:y:z
The bases are equal, positive, and not 1, so
the exponents are equal
Divide both sides by 2y
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The bases are equal, positive, and not 1, so
the exponents are equal
Divide both sides by 3z
and
y corresponds to 2 in the first ratio
but y corresponds to 4 in the second ratio.
The least common multiple is 4, so change
the first ratio to
and we now have
and
so that y corresponds to the same number, 4,
in both ratios, and now we can write:
Edwin
