State, True of False: Logba =-logab - Mathematics

State, true of false:
log_ba =-log_ab

MCQ

सत्य या असत्य

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

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More About Logarithm

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अध्याय 10: Logarithms - Exercise 10.2

अध्याय 10 Logarithms
Exercise 10.2 | Q 10.3

If log`( a - b )/2 = 1/2( log a + log b )`, Show that : a² + b² = 6ab.

If log_√27x = 2 `(2)/(3)` , find x.

Find x, if : log_x 625 = - 4

Show that : log_a m ÷ log_ab m + 1 + log _ab

Evaluate : log₃8 ÷ log₉16

State, true of false:

If `("log"49)/("log"7)` = log y, then y = 100.

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 + 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?

Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + log_p q