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

Solve for x: `("log"27)/("log"243)` = x

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

If log x = a and log y = b, write down
10^2b in terms of y

Express the following in a form free from logarithm:
m log x - n log y = 2 log 5

Express the following in a form free from logarithm:
5 log m - 1 = 3 log n

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