Solve without links If 2 logax = logb x + logcx where a, b, c 0 and - Maths - Relations and Functions

Question

Solve without links

If 2 logax = logb x + logcx where
a, b, c > 0 and
≠ 1 then which of the following holds:
(1) c2= (bc)logc a
(2) a = bc(logcb)
(3) b2 = (bc)logc a
(4) a2 =
bcâ€‹â€‹â€‹â€‹â€‹

Aamish Samotra · Accepted Answer

Solve without links If 2 logax = logb x + logcx where a, b, c > 0 and ≠ 1 then which of the following holds: (1) c2= (bc)logc a (2) a = bc(logcb) (3) b2 = (bc)logc a (4) a2 = bc​​​​​

Solve without links

If 2 log_ax = log_b x + log_cx where a, b, c > 0 and
$\neq$ 1 then which of the following holds:
(1) c²= (bc)^{log_c a}
(2) a = bc(log_cb)
(3) b² = (bc)^{log_c a}
(4) a² = bc