State, True of False: Logba =-logab

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 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 10.3

Given log₁₀x = 2a and log₁₀y = `b/2`. Write 10^{2b + 1} in terms of y.

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 + 5) = 1

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

Solve for x: `("log"128)/("log"32)` = x

Express log₁₀3 + 1 in terms of log₁₀x.

If log ₃ m = x and log₃ n = y, write down
3^2x-3 in terms of m

If log ₃ m = x and log₃ n = y, write down
`3^(1-2y+3x)` in terms of m an n

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

If log (a + 1) = log (4a - 3) - log 3; find a.