Logb A X Logc B X Loga C - Mathematics

Evaluate: log_ba × log_c b × log_a c.

Sum

log_ba x log_c b x log_a c

⇒ ` ( log_10a)/ ( log _10b) ` x ` ( log_10b)/ ( log _10c ) ` x ` ( log_10c)/ ( log _10a) `

⇒ 1.

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Chapter 8: Logarithms - Exercise 8 (D) [Page 111]

Chapter 8 Logarithms
Exercise 8 (D) | Q 19.1 | Page 111

If a² + b² = 23ab, show that:

log `(a + b)/5 = 1/2`(log a + log b).

If log₂(x + y) = log₃(x - y) = `log 25/log 0.2`, find the values of x and y.

Solve the following:
log(x²+ 36) - 2log x = 1

Solve the following:
log ₄ x + log₄(x-6) = 2

Solve the following:
log (x + 1) + log (x - 1) = log 48

Solve for x: `("log"27)/("log"243)` = x

Solve for x: `("log"121)/("log"11)` = logx

Solve for x: `("log"128)/("log"32)` = x

Express log₁₀3 + 1 in terms of log₁₀x.

If 2 log x + 1 = log 360, find: log(2 x -2)