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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More About Logarithm

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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.

Solve for x, if : log_x49 - log_x7 + log_x`1/343` + 2 = 0

Given x = log₁₀12 , y = log₄ 2 x log₁₀9 and z = log₁₀0.4 , find :
(i) x - y - z
(ii) 13^{x - y - z}

Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`

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

Solve the following:
log ₈ (x²- 1) - log ₈ (3x + 9) = 0

Solve for x: `("log"121)/("log"11)` = logx

Solve for x: `("log"125)/("log"5)` = logx

If 2 log x + 1 = log 360, find: log(2 x -2)

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