If `log_(12)18=alpha` and `log_(24)54=beta` then the value of `alpha beta+alpha-beta`

If log_(12)18=alpha and log_(24)54=beta. Prove that alpha beta+5(alpha-beta)=1

If log_12 18=alpha and log_24 54=beta . Prove that alpha beta+5(alpha-beta)=1

log_(alpha)4=gamma,log_(beta)alpha=-1 and log_((1)/(2))beta=-1 then the value of the expression 4 alpha^(2)+beta^(2)+gamma^(2) equals to

If alpha+ beta=-7 and alpha beta=10 then find the value of alpha-beta=__ .

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

Given that log_(p)x=alpha and log_(q)x=beta, then value of log_((p)/(q))x equals

If (log)_(10)(1025)/(1024)=alpha and (log)_(10) 2=beta, then the value of (log)_(10)4100 in terms of alpha and beta is equal to a. alpha+9beta b. alpha+12beta c. 12alpha+beta d. 9alpha+beta

Given that (log)_p x=alpha\ a n d(log)_q x=beta,\ then value of equals- a. (alphabeta)/(beta-alpha) b. (beta-alpha)/(alphabeta) c. (alpha-beta)/(alphabeta) d. (alphabeta)/(alpha-beta)

If (log)_(10)(1028)/(1024)=alpha and(log)_(10)=beta, then the value of (log_(10))_(10)4100 in terms of alpha and beta is equal to a.alpha+9 beta b.alpha+12 beta c.12 alpha+beta d .9 alpha+beta

If the solution of the equation log_(x)(125x)*log_(25)^(2)x=1are alpha and beta(alpha