Logb A X Logc B X Loga C

Evaluate: log_ba × log_c b × log_a c.

योग

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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More About Logarithm

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अध्याय 8: Logarithms - Exercise 8 (D) [पृष्ठ १११]

अध्याय 8 Logarithms
Exercise 8 (D) | Q 19.1 | पृष्ठ १११

If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of :
(i) x+y- z
(ii) 5^{x + y - z}

Given x = log₁₀12 , y = log₄ 2 x log₁₀9 and z = log₁₀0.4 , find :
(i) x - y - z
(ii) 13^{x - y - z}

Solve for x, `log_x^(15√5) = 2 - log_x^(3√5)`.

Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`

Solve the following:
`log_2x + log_4x + log_16x = (21)/(4)`

If x + log 4 + 2 log 5 + 3 log 3 + 2 log 2 = log 108, find the value of x.

Express the following in a form free from logarithm:
2 log x + 3 log y = log a

Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1

Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?

If log (a + 1) = log (4a - 3) - log 3; find a.