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

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

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

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

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

Find x and y, if `("log"x)/("log"5) = ("log"36)/("log"6) = ("log"64)/("log"y)`

If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.

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

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

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

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

If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.