Let b > 0 and b ≠ 1. Express y = bx in logarithmic form. Also state the domain and range of the logarithmic function - Mathematics

Let b > 0 and b ≠ 1. Express y = b^x in logarithmic form. Also state the domain and range of the logarithmic function

Sum

Given y = b^x

⇒ log_by = x, x ∈ R with range `(0, oo)(– oo, oo)`

shaalaa.com

Logarithms

Is there an error in this question or solution?

Chapter 2: Basic Algebra - Exercise 2.12 [Page 80]

Chapter 2 Basic Algebra
Exercise 2.12 | Q 1 | Page 80

Compute log₉ 27 – log₂₇ 9

Solve log₈x + log₄x + log₂x = 11

Solve log₄2^8x = 2^log₂8

If a² + b² = 7ab, show that `log ("a" + "b")/3 = 1/2(log"a" + log "b")`

Prove `log "a"^2/"bc" + log "b"^2/"ca" + log "c"^2/"ab"` = 0

Prove that `log 2 + 16log 16/15 + 12log 25/24 + 7log 81/80` = 1

Prove that log_a² a + log_b² b + log_c² c = `1/8`

Prove log a + log a² + log a³ + · · · + log aⁿ = `("n"("n" + 1))/2 log "a"`

Solve `log_2 x − 3 log_(1/2) x` = 6

Choose the correct alternative:
The value of `log_(sqrt(5))` 512 is

Choose the correct alternative:
The value of `log_3 1/81` is

Choose the correct alternative:
If `log_(sqrt(x)` 0.25 = 4, then the value of x is

Choose the correct alternative:
The value of log_ab log_bc log_ca is

Choose the correct alternative:
If 3 is the logarithm of 343, then the base is

Choose the correct alternative:
The value of log₃ 11 . log₁₁ 13 . log₁₃ 15 . log₁₅ 27 . log₂₇ 81 is