State, True of False: Logba =-logab

State, true of false:
log_ba =-log_ab

MCQ

चूक किंवा बरोबर

False, since log_ba = `(1)/("log"_"a""b")`.

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More About Logarithm

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पाठ 10: Logarithms - Exercise 10.2

पाठ 10 Logarithms
Exercise 10.2 | Q 10.3

If x = 1 + log 2 - log 5, y = 2 log3 and z = log a - log 5; find the value of a if x + y = 2z.

If a² = log x, b³ = log y and 3a² - 2b³ = 6 log z, express y in terms of x and z .

Given log₁₀x = 2a and log₁₀y = `b/2. "If" log_10^p = 3a - 2b`, express P in terms of x and y.

Evaluate : log₃8 ÷ log₉16

Solve the following:
log 7 + log (3x - 2) = log (x + 3) + 1

Solve the following:
log ( x + 1) + log ( x - 1) = log 11 + 2 log 3

Solve for x: `("log"125)/("log"5)` = logx

If log x = a and log y = b, write down
10^a-1 in terms of x

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?