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")`.

shaalaa.com

More About Logarithm

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 10.3

Solve for x and y ; if x > 0 and y > 0 ; log xy = log `x/y` + 2 log 2 = 2.

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

Evaluate : log₃8 ÷ log₉16

Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`

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

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

Express log₁₀3 + 1 in terms of log₁₀x.

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

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

Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1