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

State, true of false:
log_ba =-log_ab

MCQ

True or False

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

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 10.3

If p = log 20 and q = log 25 , find the value of x , if 2log( x + 1 ) = 2p - q.

Evaluate : log₃8 ÷ log₉16

If a² = log x , b³ = log y and `a^2/2 - b^3/3` = log c , find c in terms of x and y.

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

Solve the following:
log(x²+ 36) - 2log x = 1

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

Solve for x: `("log"81)/("log"9)` = x

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:
3 log x - 2 log y = 2

Prove that: `(1)/("log"_8 36) + (1)/("log"_9 36) + (1)/("log"_18 36)` = 2