Find X, If : Log9243 = X

Find x, if : log₉243 = x

Sum

Consider the equation
log₉243 = x
⇒ 9^x = 243
⇒ (3²)^x = 3⁵

⇒ 3^2x = 3⁵

⇒ 2x = 5

⇒ x = `5/2`

⇒ x = `2 1/2`

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Interchanging Logarithmic and Exponential Forms

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Chapter 8: Logarithms - Exercise 8 (A) [Page 103]

Chapter 8 Logarithms
Exercise 8 (A) | Q 6.3 | Page 103

Express the following in logarithmic form : `(81)^(3/4) = 27`

Express the following in exponential form : log_aA = x

Solve for x : log₁₀ x = -2.

Find the logarithm of : `1/16` to the base 4

State, true or false : If log₁₀ x = a, then 10^x = a.

State, true or false : If x^y = z, then y = log_zx .

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`

Find x, if : log_x 2 = - 1.

Evaluate : log₂ ( 1 ÷ 8 )

Evaluate : log₁₆ 8