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")`.

shaalaa.com

More About Logarithm

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 10.3

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}

Find x, if : log_x 625 = - 4

Solve : log₅( x + 1 ) - 1 = 1 + log₅( x - 1 ).

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

Solve for x: `("log"289)/("log"17)` = logx

If 2 log x + 1 = log 360, find: x

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

Prove that (log a)² - (log b)² = `"log"("a"/"b")."log"("ab")`

If a b + b log a - 1 = 0, then prove that b^a.a^b = 10

Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1