Question

If x, y, z, are in G.P., a^x = b^y = c^z then​

Answer 1

Answer:

$$xlog a=y log b=z log c=k (say)$$

Also $$y^2=xz$$

$$\dfrac {k^2}{(log b)^2}=\dfrac {k^2}{loga. log c}$$

or $$\dfrac {loga}{logb}=\dfrac {log b}{log c}$$ or $$log_ba=log_cb$$